9 citations · 13 across the 11 of their papers we have counts for
14 papers
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…
Existence and rotatability of the two-colored Jones-Wenzl projector
Amit Hazi
The two-colored Temperley-Lieb algebra is a generalization of the Temperley-Lieb algebra. The analogous two-colored Jones-Wenzl projector $\mathrm{JW}_R(…
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…
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…
Path combinatorics and light leaves for quiver Hecke algebras
C. Bowman, A. Cox, A. Hazi +1
We recast the classical notion of standard tableaux in an alcove-geometric setting and extend these classical ideas to all reduced paths in our geometry. This broader path-perspect…
Path isomorphisms between quiver Hecke and diagrammatic Bott-Samelson endomorphism algebras
Chris Bowman, Anton Cox, Amit Hazi
We construct an explicit isomorphism between (truncations of) quiver Hecke algebras and Elias-Williamson's diagrammatic endomorphism algebras of Bott-Samelson bimodules. As a corol…
The modular Weyl-Kac character formula
Chris Bowman, Amit Hazi, Emily Norton
We classify and explicitly construct the irreducible graded representations of anti-spherical Hecke categories which are concentrated in one degree. Each of these homogeneous repre…
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…
Matrix recursion for positive characteristic diagrammatic Soergel bimodules for affine Weyl groups
Amit Hazi
Let be an affine Weyl group, and let be a field of characteristic . The diagrammatic Hecke category for over is a categorification of the…
Balanced semisimple filtrations for tilting modules
Amit Hazi
Let be a quantum group at an th root of unity. Many tilting modules for have been shown to have what we call a balanced semisimple filtration, or a Loewy series whos…
Radically filtered quasi-hereditary algebras and rigidity of tilting modules
Amit Hazi
Let be a quasi-hereditary algebra. We prove that in many cases, a tilting module is rigid (i.e. has identical radical and socle series) if it does not have certain subquotients…