arXiv subjects

Alfonso Pesiri

Publications and source records attributed to Alfonso Pesiri.

2 recordsLinked to original sources

arXiv2014

Kazhdan Lusztig and R polynomials of generalized Temperley Lieb algebras

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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arXiv2013

Combinatorial properties of Temperley Lieb algebras

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.

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