Graded multiplicities in the exterior algebra
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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 December 2000
 arXiv:
 arXiv:math/0012244
 Bibcode:
 2000math.....12244B
 Keywords:

 Mathematics  Representation Theory;
 Mathematics  Combinatorics;
 17B20;
 33D52
 EPrint:
 24 pages, to appear in Adv. Math