Chopped and sliced cones and representations of Kac-Moody algebras

Abstract

We introduce the notion of a chopped and sliced cone in combinatorial geometry and prove two structure theorems for the number of integral points in the individual slices of such a cone. We observe that this notion applies to weight multiplicities of Kac-Moody algebras and Littlewood-Richardson coefficients of semisimple Lie algebras, where we obtain the corresponding results.

9 pages, 1 figure

References in corpus (2)

• A vector partition function for the multiplicities of sl_k(C)
• Weight multiplicities for so5(C)

Cited by in corpus (5)

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