Mathematics – Representation Theory
Scientific paper
2009-02-11
J. Pure Appl. Algebra 214 (2010), 1152-1164
Mathematics
Representation Theory
9 pages, 1 figure
Scientific paper
10.1016/j.jpaa.2009.10.002
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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