Graded multiplicities in the exterior algebra
Representation Theory
2009-07-02 v1 Combinatorics
Abstract
We know the multiplicity of the adjoint representation of a semisimple Lie algebra in its own exterior algebra, but how do its copies distribute themselves between the exterior powers? The answer (the graded multiplicity) is obtained with the aid of Macdonald polynomials.
Cite
@article{arxiv.math/0012244,
title = {Graded multiplicities in the exterior algebra},
author = {Yuri Bazlov},
journal= {arXiv preprint arXiv:math/0012244},
year = {2009}
}
Comments
24 pages, to appear in Adv. Math