111 citations · 160 across the 5 of their papers we have counts for
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math.RT2001
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…
math.RT2001
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…