Nicoletta Cantarini
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View article: Embeddings of E(1,6) in E(5,10) and E(4,4)
Embeddings of E(1,6) in E(5,10) and E(4,4) Open
We study the embeddings of the exceptional infinite-dimensional Lie superalgebra E(1,6) in the exceptional Lie superalgebras E(5,10) and E(4,4). These questions arose in the recent works on enhanced symmetries in some supersymmetric theori…
View article: A Lie conformal superalgebra and duality of representations for E(4,4)
A Lie conformal superalgebra and duality of representations for E(4,4) Open
We construct a duality functor in the category of continuous representations of the Lie superalgebra E(4,4), the only exceptional simple linearly compact Lie superalgebra, for which it wasn't known. This is achieved by constructing a Lie c…
View article: Low Degree Morphisms of E(5, 10)-Generalized Verma Modules
Low Degree Morphisms of E(5, 10)-Generalized Verma Modules Open
In this paper we face the study of the representations of the exceptional Lie superalgebra E(5,10). We recall the construction of generalized Verma modules and give a combinatorial description of the restriction to sl5 of the Verma module …
View article: Classification of simple Kantor triple systems
Classification of simple Kantor triple systems Open
Simple finite dimensional Kantor triple systems are classified in terms of Satake diagrams. We prove that every simple and linearly compact Kantor triple system has finite dimension and give an explicit presentation of all the classical an…
View article: Classification of linearly compact simple Nambu-Poisson algebras
Classification of linearly compact simple Nambu-Poisson algebras Open
We introduce the notion of a universal odd generalized Poisson superalgebra associated with an associative algebra A, by generalizing a construction made in the work of De Sole and Kac [Jpn. J. Math. 8, 1–145 (2013)]. By making use of this…