Equating decomposition numbers for different primes
Representation Theory
2009-09-25 v2 Group Theory
Quantum Algebra
Abstract
This paper shows that certain decomposition numbers for the Hecke algebras and q-Schur algebras at different roots of unity in characteristic zero are equal. To prove our results we first establish the corresponding theorem for the canonical basis of the level one Fock space and then apply deep results of Ariki and Varagnolo and Vasserot.
Keywords
Cite
@article{arxiv.math/0111140,
title = {Equating decomposition numbers for different primes},
author = {Gordon James and Andrew Mathas},
journal= {arXiv preprint arXiv:math/0111140},
year = {2009}
}
Comments
13 pages. LaTeX2e + pstricks