Cellular algebras arising from Hecke algebras of type H_n
q-alg
2007-05-23 v1 Quantum Algebra
Abstract
We study a finite-dimensional quotient of the Hecke algebra of type for general , using a calculus of diagrams. This provides a basis of monomials in a certain set of generators. Using this, we prove a conjecture of C.K. Fan about the semisimplicity of the quotient algebra. We also discuss the cellular structure of the algebra, with certain restrictions on the ground ring.
Cite
@article{arxiv.q-alg/9712019,
title = {Cellular algebras arising from Hecke algebras of type H_n},
author = {R. M. Green},
journal= {arXiv preprint arXiv:q-alg/9712019},
year = {2007}
}
Comments
16 pages, 8 EPS figures. Mathematische Zeitschrift, to appear