We define and study, for any Coxeter system (W, S), modules over its Temperley-Lieb algebra, two for each quotient WJ, which have generators indexed by the fully commutative elements of WJ. Our results are new even in type A and include, for J=θ, those obtained in [16] and [17].
Parabolic Temperley-Lieb modules and polynomials
Sentinelli P.
2016-01-01
Abstract
We define and study, for any Coxeter system (W, S), modules over its Temperley-Lieb algebra, two for each quotient WJ, which have generators indexed by the fully commutative elements of WJ. Our results are new even in type A and include, for J=θ, those obtained in [16] and [17].File in questo prodotto:
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Parabolic Temperley–Lieb modules and polynomials - P. Sentinelli.pdf
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