Adapted algebras and standard monomials

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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.
20 pages

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Representation Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/63039

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0201026
 http://arxiv.org/abs/math/0201026

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arXiv