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math.RT2016★ 5 cited
Faces of highest weight modules and the universal Weyl polyhedron
Gurbir Dhillon, Apoorva Khare
Let be a highest weight module over a Kac-Moody algebra , and let conv denote the convex hull of its weights. We determine the combinatorial isomorphism type…
math.RT2016★ 2 cited
The weights of simple modules in Category for Kac-Moody algebras
Gurbir Dhillon, Apoorva Khare
We give the first positive formulas for the weights of every simple highest weight module over an arbitrary Kac-Moody algebra. Under a mild condition on the highest weight,…