5 papers · 1 filter
Some remarks on realizations defining diagrammatic Hecke categories
Amit Hazi
Every diagrammatic Hecke category is constructed from a realization, which generalizes the notion of a reflection representation of a Coxeter group. Common assumptions on realizati…
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.
Quiver presentations and isomorphisms of Hecke categories and Khovanov arc algebras
Chris Bowman, Maud De Visscher, Amit Hazi +1
We prove that the extended Khovanov arc algebras are isomorphic to the basic algebras of anti-spherical Hecke categories for maximal parabolics of symmetric groups. We present thes…
Indecomposable tilting modules for the blob algebra
Amit Hazi, Paul Martin, Alison Parker
The blob algebra is a finite-dimensional quotient of the Hecke algebra of type which is almost always quasi-hereditary. We construct the indecomposable tilting modules for the…