A q-analogue of an identity of N. Wallach
Quantum Algebra
2007-05-23 v1
Abstract
N.Wallach has considered an element of the group algebra of the symmetric group S_n which is the sum of an n-cycle, an (n-1)-cycle,...,a 2-cycle and the identity. He showed that multiplication by this element has eigenvalues 0,1,2,...,n-2,n. We prove a q-analogue of this result in which the group algebra of S_n is replaced by the corresponding Hecke algebra.
Cite
@article{arxiv.math/0311158,
title = {A q-analogue of an identity of N. Wallach},
author = {G. Lusztig},
journal= {arXiv preprint arXiv:math/0311158},
year = {2007}
}
Comments
5 pages