Chopped and sliced cones and representations of Kac-Moody algebras

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Bliem, Thomas
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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.
Comment: 9 pages, 1 figure
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Mathematics - Representation Theory, Mathematics - Combinatorics
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