Niamh Farrell
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View article: Oriented Temperley–Lieb algebras and combinatorial Kazhdan–Lusztig theory
Oriented Temperley–Lieb algebras and combinatorial Kazhdan–Lusztig theory Open
We define oriented Temperley–Lieb algebras for Hermitian symmetric spaces. This allows us to explain the existence of closed combinatorial formulae for the Kazhdan–Lusztig polynomials for these spaces.
View article: Oriented Temperley--Lieb algebras and combinatorial Kazhdan--Lusztig theory
Oriented Temperley--Lieb algebras and combinatorial Kazhdan--Lusztig theory Open
We define oriented Temperley--Lieb algebras for classical Hermitian symmetric spaces. This allows us to explain the existence of closed combinatorial formulae for the Kazhdan--Lusztig polynomials for these spaces.
View article: Trivial source character tables of $\text{SL}_2(q)$, Part II
Trivial source character tables of $\text{SL}_2(q)$, Part II Open
We compute the trivial source character tables (also called species tables of the trivial source ring) of the infinite family of finite groups $\text{SL}_{2}(q)$ for $q$ even, over a large enough field $k$ of positive characteristic ${\ell…
View article: Trivial source character tables of SL2(q)
Trivial source character tables of SL2(q) Open
View article: Trivial source character tables of SL(2,q)
Trivial source character tables of SL(2,q) Open
We compute the trivial source character tables (also called species tables of the trivial source ring) of the infinite family of finite groups SL(2,q) over a large enough field of positive characteristic $\ell$ via character-theoretical me…
View article: Fake Galois actions
Fake Galois actions Open
We prove that for all non-abelian finite simple groups [Formula: see text], there exists a fake [Formula: see text]th Galois action on [Formula: see text] with respect to [Formula: see text], where [Formula: see text] is the universal cove…
View article: Modular Representation Theory of Finite Groups
Modular Representation Theory of Finite Groups Open
View article: Rationality of blocks of quasi-simple finite groups
Rationality of blocks of quasi-simple finite groups Open
Let be a prime number. We show that the Morita Frobenius number of an -block of a quasi-simple finite group is at most and that the strong Frobenius number is at most , where denotes a defect group of the block. We deduce that a basic a…
View article: On the Morita Frobenius numbers of blocks of finite reductive groups
On the Morita Frobenius numbers of blocks of finite reductive groups Open