The principal block of a ℤℓ-spets and Yokonuma type algebras Article Swipe
Radha Kessar
,
Gunter Malle
,
Jason Semeraro
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.2140/ant.2023.17.397
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.2140/ant.2023.17.397
We formulate conjectures concerning the dimension of the principal block of a ޚ ℓ -spets (as defined in our earlier paper), motivated by analogous statements for finite groups.We show that these conjectures hold in certain situations.For this we introduce and study a Yokonuma type algebra for torus normalisers in ℓ-compact groups which may be of independent interest.
Related Topics
Concepts
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.2140/ant.2023.17.397
- OA Status
- hybrid
- Cited By
- 1
- References
- 27
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4360838523
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
-
https://openalex.org/W4360838523Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.2140/ant.2023.17.397Digital Object Identifier
- Title
-
The principal block of a ℤℓ-spets and Yokonuma type algebrasWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2023Year of publication
- Publication date
-
2023-03-24Full publication date if available
- Authors
-
Radha Kessar, Gunter Malle, Jason SemeraroList of authors in order
- Landing page
-
https://doi.org/10.2140/ant.2023.17.397Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
hybridOpen access status per OpenAlex
- OA URL
-
https://doi.org/10.2140/ant.2023.17.397Direct OA link when available
- Concepts
-
Mathematics, Block (permutation group theory), Type (biology), Principal (computer security), Pure mathematics, Algebra over a field, Arithmetic, Combinatorics, Computer science, Geology, Operating system, PaleontologyTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
1Total citation count in OpenAlex
- Citations by year (recent)
-
2025: 1Per-year citation counts (last 5 years)
- References (count)
-
27Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
Full payload
| id | https://openalex.org/W4360838523 |
|---|---|
| doi | https://doi.org/10.2140/ant.2023.17.397 |
| ids.doi | https://doi.org/10.2140/ant.2023.17.397 |
| ids.openalex | https://openalex.org/W4360838523 |
| fwci | 0.70502578 |
| type | article |
| title | The principal block of a ℤℓ-spets and Yokonuma type algebras |
| biblio.issue | 2 |
| biblio.volume | 17 |
| biblio.last_page | 433 |
| biblio.first_page | 397 |
| topics[0].id | https://openalex.org/T10287 |
| topics[0].field.id | https://openalex.org/fields/26 |
| topics[0].field.display_name | Mathematics |
| topics[0].score | 0.9998999834060669 |
| topics[0].domain.id | https://openalex.org/domains/3 |
| topics[0].domain.display_name | Physical Sciences |
| topics[0].subfield.id | https://openalex.org/subfields/2608 |
| topics[0].subfield.display_name | Geometry and Topology |
| topics[0].display_name | Algebraic structures and combinatorial models |
| topics[1].id | https://openalex.org/T11703 |
| topics[1].field.id | https://openalex.org/fields/26 |
| topics[1].field.display_name | Mathematics |
| topics[1].score | 0.9998999834060669 |
| topics[1].domain.id | https://openalex.org/domains/3 |
| topics[1].domain.display_name | Physical Sciences |
| topics[1].subfield.id | https://openalex.org/subfields/2602 |
| topics[1].subfield.display_name | Algebra and Number Theory |
| topics[1].display_name | Rings, Modules, and Algebras |
| topics[2].id | https://openalex.org/T11673 |
| topics[2].field.id | https://openalex.org/fields/26 |
| topics[2].field.display_name | Mathematics |
| topics[2].score | 0.9995999932289124 |
| topics[2].domain.id | https://openalex.org/domains/3 |
| topics[2].domain.display_name | Physical Sciences |
| topics[2].subfield.id | https://openalex.org/subfields/2602 |
| topics[2].subfield.display_name | Algebra and Number Theory |
| topics[2].display_name | Advanced Topics in Algebra |
| is_xpac | False |
| apc_list | |
| apc_paid | |
| concepts[0].id | https://openalex.org/C33923547 |
| concepts[0].level | 0 |
| concepts[0].score | 0.87015700340271 |
| concepts[0].wikidata | https://www.wikidata.org/wiki/Q395 |
| concepts[0].display_name | Mathematics |
| concepts[1].id | https://openalex.org/C2777210771 |
| concepts[1].level | 2 |
| concepts[1].score | 0.6868159770965576 |
| concepts[1].wikidata | https://www.wikidata.org/wiki/Q4927124 |
| concepts[1].display_name | Block (permutation group theory) |
| concepts[2].id | https://openalex.org/C2777299769 |
| concepts[2].level | 2 |
| concepts[2].score | 0.6422162055969238 |
| concepts[2].wikidata | https://www.wikidata.org/wiki/Q3707858 |
| concepts[2].display_name | Type (biology) |
| concepts[3].id | https://openalex.org/C144559511 |
| concepts[3].level | 2 |
| concepts[3].score | 0.6327004432678223 |
| concepts[3].wikidata | https://www.wikidata.org/wiki/Q2986279 |
| concepts[3].display_name | Principal (computer security) |
| concepts[4].id | https://openalex.org/C202444582 |
| concepts[4].level | 1 |
| concepts[4].score | 0.5116775035858154 |
| concepts[4].wikidata | https://www.wikidata.org/wiki/Q837863 |
| concepts[4].display_name | Pure mathematics |
| concepts[5].id | https://openalex.org/C136119220 |
| concepts[5].level | 2 |
| concepts[5].score | 0.4993140697479248 |
| concepts[5].wikidata | https://www.wikidata.org/wiki/Q1000660 |
| concepts[5].display_name | Algebra over a field |
| concepts[6].id | https://openalex.org/C94375191 |
| concepts[6].level | 1 |
| concepts[6].score | 0.4262639880180359 |
| concepts[6].wikidata | https://www.wikidata.org/wiki/Q11205 |
| concepts[6].display_name | Arithmetic |
| concepts[7].id | https://openalex.org/C114614502 |
| concepts[7].level | 1 |
| concepts[7].score | 0.24808207154273987 |
| concepts[7].wikidata | https://www.wikidata.org/wiki/Q76592 |
| concepts[7].display_name | Combinatorics |
| concepts[8].id | https://openalex.org/C41008148 |
| concepts[8].level | 0 |
| concepts[8].score | 0.08248621225357056 |
| concepts[8].wikidata | https://www.wikidata.org/wiki/Q21198 |
| concepts[8].display_name | Computer science |
| concepts[9].id | https://openalex.org/C127313418 |
| concepts[9].level | 0 |
| concepts[9].score | 0.04023265838623047 |
| concepts[9].wikidata | https://www.wikidata.org/wiki/Q1069 |
| concepts[9].display_name | Geology |
| concepts[10].id | https://openalex.org/C111919701 |
| concepts[10].level | 1 |
| concepts[10].score | 0.0 |
| concepts[10].wikidata | https://www.wikidata.org/wiki/Q9135 |
| concepts[10].display_name | Operating system |
| concepts[11].id | https://openalex.org/C151730666 |
| concepts[11].level | 1 |
| concepts[11].score | 0.0 |
| concepts[11].wikidata | https://www.wikidata.org/wiki/Q7205 |
| concepts[11].display_name | Paleontology |
| keywords[0].id | https://openalex.org/keywords/mathematics |
| keywords[0].score | 0.87015700340271 |
| keywords[0].display_name | Mathematics |
| keywords[1].id | https://openalex.org/keywords/block |
| keywords[1].score | 0.6868159770965576 |
| keywords[1].display_name | Block (permutation group theory) |
| keywords[2].id | https://openalex.org/keywords/type |
| keywords[2].score | 0.6422162055969238 |
| keywords[2].display_name | Type (biology) |
| keywords[3].id | https://openalex.org/keywords/principal |
| keywords[3].score | 0.6327004432678223 |
| keywords[3].display_name | Principal (computer security) |
| keywords[4].id | https://openalex.org/keywords/pure-mathematics |
| keywords[4].score | 0.5116775035858154 |
| keywords[4].display_name | Pure mathematics |
| keywords[5].id | https://openalex.org/keywords/algebra-over-a-field |
| keywords[5].score | 0.4993140697479248 |
| keywords[5].display_name | Algebra over a field |
| keywords[6].id | https://openalex.org/keywords/arithmetic |
| keywords[6].score | 0.4262639880180359 |
| keywords[6].display_name | Arithmetic |
| keywords[7].id | https://openalex.org/keywords/combinatorics |
| keywords[7].score | 0.24808207154273987 |
| keywords[7].display_name | Combinatorics |
| keywords[8].id | https://openalex.org/keywords/computer-science |
| keywords[8].score | 0.08248621225357056 |
| keywords[8].display_name | Computer science |
| keywords[9].id | https://openalex.org/keywords/geology |
| keywords[9].score | 0.04023265838623047 |
| keywords[9].display_name | Geology |
| language | en |
| locations[0].id | doi:10.2140/ant.2023.17.397 |
| locations[0].is_oa | True |
| locations[0].source.id | https://openalex.org/S184416969 |
| locations[0].source.issn | 1937-0652, 1944-7833 |
| locations[0].source.type | journal |
| locations[0].source.is_oa | False |
| locations[0].source.issn_l | 1937-0652 |
| locations[0].source.is_core | True |
| locations[0].source.is_in_doaj | False |
| locations[0].source.display_name | Algebra & Number Theory |
| locations[0].source.host_organization | https://openalex.org/P4310320446 |
| locations[0].source.host_organization_name | Mathematical Sciences Publishers |
| locations[0].source.host_organization_lineage | https://openalex.org/P4310320446 |
| locations[0].license | cc-by |
| locations[0].pdf_url | |
| locations[0].version | publishedVersion |
| locations[0].raw_type | journal-article |
| locations[0].license_id | https://openalex.org/licenses/cc-by |
| locations[0].is_accepted | True |
| locations[0].is_published | True |
| locations[0].raw_source_name | Algebra & Number Theory |
| locations[0].landing_page_url | https://doi.org/10.2140/ant.2023.17.397 |
| indexed_in | crossref |
| authorships[0].author.id | https://openalex.org/A5040638896 |
| authorships[0].author.orcid | https://orcid.org/0000-0002-1893-4237 |
| authorships[0].author.display_name | Radha Kessar |
| authorships[0].countries | GB |
| authorships[0].affiliations[0].institution_ids | https://openalex.org/I180825142 |
| authorships[0].affiliations[0].raw_affiliation_string | Department of Mathematics, City, University of London, London, United Kingdom |
| authorships[0].institutions[0].id | https://openalex.org/I180825142 |
| authorships[0].institutions[0].ror | https://ror.org/04489at23 |
| authorships[0].institutions[0].type | education |
| authorships[0].institutions[0].lineage | https://openalex.org/I124357947, https://openalex.org/I180825142 |
| authorships[0].institutions[0].country_code | GB |
| authorships[0].institutions[0].display_name | City, University of London |
| authorships[0].author_position | first |
| authorships[0].raw_author_name | Radha Kessar |
| authorships[0].is_corresponding | False |
| authorships[0].raw_affiliation_strings | Department of Mathematics, City, University of London, London, United Kingdom |
| authorships[1].author.id | https://openalex.org/A5109878955 |
| authorships[1].author.orcid | |
| authorships[1].author.display_name | Gunter Malle |
| authorships[1].countries | DE |
| authorships[1].affiliations[0].institution_ids | https://openalex.org/I153267046 |
| authorships[1].affiliations[0].raw_affiliation_string | Fachbereich Mathematik, TU Kaiserslautern, Kaiserslautern, Germany |
| authorships[1].institutions[0].id | https://openalex.org/I153267046 |
| authorships[1].institutions[0].ror | https://ror.org/04zrf7b53 |
| authorships[1].institutions[0].type | education |
| authorships[1].institutions[0].lineage | https://openalex.org/I153267046 |
| authorships[1].institutions[0].country_code | DE |
| authorships[1].institutions[0].display_name | University of Kaiserslautern |
| authorships[1].author_position | middle |
| authorships[1].raw_author_name | Gunter Malle |
| authorships[1].is_corresponding | False |
| authorships[1].raw_affiliation_strings | Fachbereich Mathematik, TU Kaiserslautern, Kaiserslautern, Germany |
| authorships[2].author.id | https://openalex.org/A5034159040 |
| authorships[2].author.orcid | https://orcid.org/0000-0003-0867-6278 |
| authorships[2].author.display_name | Jason Semeraro |
| authorships[2].countries | GB |
| authorships[2].affiliations[0].institution_ids | https://openalex.org/I153648349, https://openalex.org/I4210166532 |
| authorships[2].affiliations[0].raw_affiliation_string | Heilbronn Institute for Mathematical Research, Department of Mathematics, University of Leicester, Leicester, United Kingdom |
| authorships[2].institutions[0].id | https://openalex.org/I4210166532 |
| authorships[2].institutions[0].ror | https://ror.org/05ttdgs63 |
| authorships[2].institutions[0].type | facility |
| authorships[2].institutions[0].lineage | https://openalex.org/I4210166532 |
| authorships[2].institutions[0].country_code | GB |
| authorships[2].institutions[0].display_name | Heilbronn Institute for Mathematical Research |
| authorships[2].institutions[1].id | https://openalex.org/I153648349 |
| authorships[2].institutions[1].ror | https://ror.org/04h699437 |
| authorships[2].institutions[1].type | education |
| authorships[2].institutions[1].lineage | https://openalex.org/I153648349 |
| authorships[2].institutions[1].country_code | GB |
| authorships[2].institutions[1].display_name | University of Leicester |
| authorships[2].author_position | last |
| authorships[2].raw_author_name | Jason Semeraro |
| authorships[2].is_corresponding | False |
| authorships[2].raw_affiliation_strings | Heilbronn Institute for Mathematical Research, Department of Mathematics, University of Leicester, Leicester, United Kingdom |
| has_content.pdf | False |
| has_content.grobid_xml | False |
| is_paratext | False |
| open_access.is_oa | True |
| open_access.oa_url | https://doi.org/10.2140/ant.2023.17.397 |
| open_access.oa_status | hybrid |
| open_access.any_repository_has_fulltext | False |
| created_date | 2025-10-10T00:00:00 |
| display_name | The principal block of a ℤℓ-spets and Yokonuma type algebras |
| has_fulltext | False |
| is_retracted | False |
| updated_date | 2025-11-06T03:46:38.306776 |
| primary_topic.id | https://openalex.org/T10287 |
| primary_topic.field.id | https://openalex.org/fields/26 |
| primary_topic.field.display_name | Mathematics |
| primary_topic.score | 0.9998999834060669 |
| primary_topic.domain.id | https://openalex.org/domains/3 |
| primary_topic.domain.display_name | Physical Sciences |
| primary_topic.subfield.id | https://openalex.org/subfields/2608 |
| primary_topic.subfield.display_name | Geometry and Topology |
| primary_topic.display_name | Algebraic structures and combinatorial models |
| related_works | https://openalex.org/W236190221, https://openalex.org/W2379779959, https://openalex.org/W285491472, https://openalex.org/W2333822231, https://openalex.org/W2394141650, https://openalex.org/W2390200212, https://openalex.org/W2388028180, https://openalex.org/W2105505991, https://openalex.org/W1967372967, https://openalex.org/W1980871731 |
| cited_by_count | 1 |
| counts_by_year[0].year | 2025 |
| counts_by_year[0].cited_by_count | 1 |
| locations_count | 1 |
| best_oa_location.id | doi:10.2140/ant.2023.17.397 |
| best_oa_location.is_oa | True |
| best_oa_location.source.id | https://openalex.org/S184416969 |
| best_oa_location.source.issn | 1937-0652, 1944-7833 |
| best_oa_location.source.type | journal |
| best_oa_location.source.is_oa | False |
| best_oa_location.source.issn_l | 1937-0652 |
| best_oa_location.source.is_core | True |
| best_oa_location.source.is_in_doaj | False |
| best_oa_location.source.display_name | Algebra & Number Theory |
| best_oa_location.source.host_organization | https://openalex.org/P4310320446 |
| best_oa_location.source.host_organization_name | Mathematical Sciences Publishers |
| best_oa_location.source.host_organization_lineage | https://openalex.org/P4310320446 |
| best_oa_location.license | cc-by |
| best_oa_location.pdf_url | |
| best_oa_location.version | publishedVersion |
| best_oa_location.raw_type | journal-article |
| best_oa_location.license_id | https://openalex.org/licenses/cc-by |
| best_oa_location.is_accepted | True |
| best_oa_location.is_published | True |
| best_oa_location.raw_source_name | Algebra & Number Theory |
| best_oa_location.landing_page_url | https://doi.org/10.2140/ant.2023.17.397 |
| primary_location.id | doi:10.2140/ant.2023.17.397 |
| primary_location.is_oa | True |
| primary_location.source.id | https://openalex.org/S184416969 |
| primary_location.source.issn | 1937-0652, 1944-7833 |
| primary_location.source.type | journal |
| primary_location.source.is_oa | False |
| primary_location.source.issn_l | 1937-0652 |
| primary_location.source.is_core | True |
| primary_location.source.is_in_doaj | False |
| primary_location.source.display_name | Algebra & Number Theory |
| primary_location.source.host_organization | https://openalex.org/P4310320446 |
| primary_location.source.host_organization_name | Mathematical Sciences Publishers |
| primary_location.source.host_organization_lineage | https://openalex.org/P4310320446 |
| primary_location.license | cc-by |
| primary_location.pdf_url | |
| primary_location.version | publishedVersion |
| primary_location.raw_type | journal-article |
| primary_location.license_id | https://openalex.org/licenses/cc-by |
| primary_location.is_accepted | True |
| primary_location.is_published | True |
| primary_location.raw_source_name | Algebra & Number Theory |
| primary_location.landing_page_url | https://doi.org/10.2140/ant.2023.17.397 |
| publication_date | 2023-03-24 |
| publication_year | 2023 |
| referenced_works | https://openalex.org/W1966662098, https://openalex.org/W2788859766, https://openalex.org/W1998959765, https://openalex.org/W2007497697, https://openalex.org/W2146048354, https://openalex.org/W4249636770, https://openalex.org/W2963653369, https://openalex.org/W3044485127, https://openalex.org/W1506499604, https://openalex.org/W2962765221, https://openalex.org/W2142614238, https://openalex.org/W2509130322, https://openalex.org/W1569820777, https://openalex.org/W2012706422, https://openalex.org/W2118797931, https://openalex.org/W4212854603, https://openalex.org/W2027257047, https://openalex.org/W1881950298, https://openalex.org/W2069040157, https://openalex.org/W2034275805, https://openalex.org/W2068901702, https://openalex.org/W2963974536, https://openalex.org/W2963890587, https://openalex.org/W2583683745, https://openalex.org/W2040077137, https://openalex.org/W2964100485, https://openalex.org/W3099557359 |
| referenced_works_count | 27 |
| abstract_inverted_index.a | 11, 41 |
| abstract_inverted_index.We | 0 |
| abstract_inverted_index.be | 53 |
| abstract_inverted_index.by | 22 |
| abstract_inverted_index.in | 17, 33, 48 |
| abstract_inverted_index.of | 6, 10, 54 |
| abstract_inverted_index.we | 37 |
| abstract_inverted_index.(as | 15 |
| abstract_inverted_index.and | 39 |
| abstract_inverted_index.for | 25, 45 |
| abstract_inverted_index.may | 52 |
| abstract_inverted_index.our | 18 |
| abstract_inverted_index.the | 4, 7 |
| abstract_inverted_index.ℓ | 13 |
| abstract_inverted_index.hold | 32 |
| abstract_inverted_index.show | 28 |
| abstract_inverted_index.that | 29 |
| abstract_inverted_index.this | 36 |
| abstract_inverted_index.type | 43 |
| abstract_inverted_index.block | 9 |
| abstract_inverted_index.study | 40 |
| abstract_inverted_index.these | 30 |
| abstract_inverted_index.torus | 46 |
| abstract_inverted_index.which | 51 |
| abstract_inverted_index.-spets | 14 |
| abstract_inverted_index.finite | 26 |
| abstract_inverted_index.groups | 50 |
| abstract_inverted_index.algebra | 44 |
| abstract_inverted_index.certain | 34 |
| abstract_inverted_index.defined | 16 |
| abstract_inverted_index.earlier | 19 |
| abstract_inverted_index.paper), | 20 |
| abstract_inverted_index.Yokonuma | 42 |
| abstract_inverted_index.ޚ | 12 |
| abstract_inverted_index.analogous | 23 |
| abstract_inverted_index.dimension | 5 |
| abstract_inverted_index.formulate | 1 |
| abstract_inverted_index.groups.We | 27 |
| abstract_inverted_index.interest. | 56 |
| abstract_inverted_index.introduce | 38 |
| abstract_inverted_index.motivated | 21 |
| abstract_inverted_index.principal | 8 |
| abstract_inverted_index.concerning | 3 |
| abstract_inverted_index.statements | 24 |
| abstract_inverted_index.conjectures | 2, 31 |
| abstract_inverted_index.independent | 55 |
| abstract_inverted_index.normalisers | 47 |
| abstract_inverted_index.ℓ-compact | 49 |
| abstract_inverted_index.situations.For | 35 |
| cited_by_percentile_year.max | 95 |
| cited_by_percentile_year.min | 91 |
| countries_distinct_count | 2 |
| institutions_distinct_count | 3 |
| citation_normalized_percentile.value | 0.61483337 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |