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arXiv · 0902.1810

Chopped and sliced cones and representations of Kac-Moody algebras

Thomas Bliem
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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.

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BibTeXRIS

Thomas Bliem. 2009-02-11. Chopped and sliced cones and representations of Kac-Moody algebras. https://doi.org/10.1016/j.jpaa.2009.10.002

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