111 citations · 160 across the 5 of their papers we have counts for
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Tilting modules for Lie superalgebras
Jonathan Brundan
This is a companion article to my papers on Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebras gl(m|n) (much revised!) and q(n). The goal is to develop th…
Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra q(n)
Jonathan Brundan
The problem of computing the characters of the finite dimensional irreducible representations of the Lie superalgebra over $\C$ was solved in 1996 by I. Penkov and…
Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra gl(m|n)
Jonathan Brundan
The problem of computing the characters of the finite dimensional irreducible representations of the Lie superalgebra over $\C$ was solved a few years ago by V…
Cartan Determinants and Shapovalov forms
Jonathan Brundan, Alexander Kleshchev
We compute the determinant of the Gram matrix of the Shapovalov form on weight spaces of the basic representation of an affine Kac-Moody algebra of ADE type (possibly twisted). As…
Hecke-Clifford superalgebras, crystals of type A_{2l}^{(2)} and modular branching rules for \hat S_n
Jonathan Brundan, Alexander Kleshchev
Ian Grojnowski has developed a purely algebraic way to connect the representation theory of affine Hecke algebras at an (l+1)-th root of unity to the highest weight theory of the a…