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math.RT2009
Degenerate Affine Hecke-Clifford Algebras and Type Lie Superalgebras
David Hill, Jonathan Kujawa, Josh Sussan
We construct the finite dimensional simple integral modules for the (degenerate) affine Hecke-Clifford algebra (AHCA). Our construction includes an analogue of Zelevinsky's segment…
math.RT2006
Elementary divisors of the Shapovalov form on the basic representation of Kac-Moody algebras
David Hill
We provide an algorithm to calculate the invariant factors of the Shapovalov form on the standard -lattice inside the basic representation of a Kac-Moody algebra of type,…