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arXiv · 1401.0611

Kazhdan Lusztig and R polynomials of generalized Temperley Lieb algebras

Alfonso Pesiri
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Abstract

We study two families of polynomials that play the same role, in the generalized Temperley Lieb algebra of a Coxeter group, as the Kazhdan Lusztig and R polynomials in the Hecke algebra of the group. Our results include recursions, closed formulas, and other combinatorial properties for these polynomials. We focus mainly on non branching Coxeter graphs.

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BibTeXRIS

Alfonso Pesiri. 2014-01-03. Kazhdan Lusztig and R polynomials of generalized Temperley Lieb algebras. https://arxiv.org/abs/1401.0611

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