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Oriented Temperley--Lieb algebras and combinatorial Kazhdan--Lusztig theory

2022/12/19 by Bowman, Chris, De Visscher, Maud, Farrell, Niamh +2
#Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2212.09402

Abstract

We define oriented Temperley--Lieb algebras for classical Hermitian symmetric spaces. This allows us to explain the existence of closed combinatorial formulae for the Kazhdan--Lusztig polynomials for these spaces.

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