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arXiv · 2212.09402

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

Chris Bowman·Maud De Visscher·Niamh Farrell·Amit Hazi·Emily Norton
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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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Chris Bowman, Maud De Visscher, Niamh Farrell, Amit Hazi, Emily Norton. 2022-12-19. Oriented Temperley--Lieb algebras and combinatorial Kazhdan--Lusztig theory. https://arxiv.org/abs/2212.09402

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