Chopped and Sliced Cones and Representations of Kac-moody Algebras
نویسنده
چکیده
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.
منابع مشابه
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تاریخ انتشار 2009