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Oriented Temperley–Lieb algebras and combinatorial Kazhdan–Lusztig theory

Chris Bowman, Maud de Visscher, Niamh Farrell, Amit Hazi, Emily Norton

Source record

Source: Crossref

Published: Jan 14, 2025

DOI: 10.4153/s0008414x24001032

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Source abstract

Abstract We define oriented Temperley–Lieb algebras for 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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Oriented Temperley–Lieb algebras and combinatorial Kazhdan–Lusztig theory — Mathematical Frontier Network