Adapted algebras and standard monomials
Representation Theory
2007-05-23 v1
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.
Cite
@article{arxiv.math/0201026,
title = {Adapted algebras and standard monomials},
author = {Philippe Caldero and Peter Littelmann},
journal= {arXiv preprint arXiv:math/0201026},
year = {2007}
}
Comments
20 pages