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Adapted algebras and standard monomials

Philippe Caldero·Peter Littelmann
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Abstract

Let G be a complex semisimple Lie group. The aim of this article is to compare two basis for G-modules, namely the standard monomial basis and the dual canonical basis. In particular, we give a sufficient condition for a standard monomial to be an element of the dual canonical basis and vice versa.

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Philippe Caldero, Peter Littelmann. 2002-01-04. Adapted algebras and standard monomials. https://arxiv.org/abs/math/0201026

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