Adapted algebras and standard monomials

Details Adapted algebras and standard monomials Adapted algebras and standard monomials

2002-01-04

arxiv.org/abs/math/0201026v1

Mathematics

Representation Theory

20 pages

Scientific paper

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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