Generalized exponents of small representations. II
Representation Theory
2009-04-17 v1 Combinatorics
Abstract
This is the second paper in a sequence devoted to giving manifestly non-negative formulas for generalized exponents of small representations in all types. It contains a first formula for generalized exponents of small weights which extends the Shapiro-Steinberg formula for classical exponents. The formula is made possible by a computation of Fourier coefficients of the degenerate Cherednik kernel. Unlike the usual partition function coefficients, the answer reflects only the combinatorics of minimal expressions as a sum of roots.
Keywords
Cite
@article{arxiv.0904.2487,
title = {Generalized exponents of small representations. II},
author = {Bogdan Ion},
journal= {arXiv preprint arXiv:0904.2487},
year = {2009}
}
Comments
70 pg