English

Canonical Bases for Hecke Algebra Quotients

Quantum Algebra 2007-05-23 v1

Abstract

We establish the existence of an IC basis for the generalized Temperley--Lieb algebra associated to a Coxeter system of arbitrary type. We determine this basis explicitly in the case where the Coxeter system is simply laced and the algebra is finite dimensional.

Keywords

Cite

@article{arxiv.math/9904045,
  title  = {Canonical Bases for Hecke Algebra Quotients},
  author = {R. M. Green and J. Losonczy},
  journal= {arXiv preprint arXiv:math/9904045},
  year   = {2007}
}

Comments

11 pages, AMSTeX

R2 v1 2026-07-22T18:02:35.415Z