6 papers · 1 filter
The orientifold Temperley--Lieb algebra
Chris Bowman, Zajj Daugherty, Maud De Visscher +2
We construct gradings on the simple modules of 2-boundary Temperley--Lieb algebras and symplectic blob algebras by realising the latter algebras as quotients of Varagnolo--Vasserot…
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…
The center of the walled Brauer algebra
Eirini Chavli, Maud De Visscher, Alison Parker +2
We show that the centre of the walled Brauer algebra over the complex field , for any parameter , is generated by the supersymmetric pol…
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…
Faithful covers of Khovanov arc algebras
Chris Bowman, Maud De Visscher, Alice Dell'Arciprete +3
We show that the extended Khovanov algebra is an -faithful cover of the Khovanov arc algebra .
Quiver presentations and Schur--Weyl duality for Khovanov arc algebras
Chris Bowman, Maud De Visscher, Alice Dell'Arciprete +3
We provide an -quiver and relations presentation of the Khovanov arc algebras and prove a precise analogue of the Kleshchev--Martin conjecture in this setting.