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math.RT2022
Oriented Temperley--Lieb algebras and combinatorial Kazhdan--Lusztig theory
Chris Bowman, Maud De Visscher, Niamh Farrell +2
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--Lusz…
math.RT2022
The anti-spherical Hecke categories for Hermitian symmetric pairs
Chris Bowman, Maud De Visscher, Amit Hazi +1
We calculate the -Kazhdan--Lusztig polynomials for Hermitian symmetric pairs and prove that the corresponding anti-spherical Hecke categories categories are standard Koszul. We…