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math.RT2024
Geometric invariant theory and stretched Kostka quasi-polynomials
Marc Besson, Sam Jeralds, Joshua Kiers
For a semisimple, simply-connected complex algebraic group and two dominant integral weights , we consider the dimensions of weight spaces of weight in the i…
math.RT2024
Affine Demazure Weight Polytopes and Twisted Bruhat Orders
Marc Besson, Sam Jeralds, Joshua Kiers
For an untwisted affine Kac-Moody Lie algebra with Cartan and Borel subalgebras , affine Demazure modules are…
math.RT2024
Irreducible components in Hochschild cohomology of flag varieties
Sam Jeralds
Let be a simple, simply-connected complex algebraic group with Lie algebra , and the associated complete flag variety. The Hochschild cohomology $HH^\bullet…