Combinatorial properties of Temperley Lieb algebras
Combinatorics
2013-10-04 v2
Abstract
We consider two families of polynomials that play the same role in the Temperley Lieb algebra of a Coxeter group as the Kazhdan Lusztig and R polynomials play in the Hecke algebra of the group. We study these polynomials from a combinatorial point of view. More precisely we obtain recursions, non recursive formulas, symmetry properties, and expressions for the constant terms, of these polynomials.
Keywords
Cite
@article{arxiv.1310.0634,
title = {Combinatorial properties of Temperley Lieb algebras},
author = {Alfonso Pesiri},
journal= {arXiv preprint arXiv:1310.0634},
year = {2013}
}
Comments
This work is based on the author's doctoral dissertation, written under the direction of Prof. F. Brenti at the University of Rome "Tor Vergata"