A. Hazi

activity

20242026

collaborators

6 papers

math.RT2026

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…

math.RT2025

The anti-spherical Hecke categories for Hermitian symmetric pairs

Chris Bowman, Maud De Visscher, Amit Hazi +1

We calculate the $p$ -Kazhdan--Lusztig polynomials for Hermitian symmetric pairs and prove that the corresponding anti-spherical Hecke categories categories are standard Koszul. We…

math.RT2025

Matrix recursion for positive characteristic diagrammatic Soergel bimodules for affine Weyl groups

Amit Hazi

Let $W$ be an affine Weyl group, and let $k$ be a field of characteristic $p > 0$ . The diagrammatic Hecke category $D$ for $W$ over $k$ is a categorification of the…

math.RT2024

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.RT2024

Faithful covers of Khovanov arc algebras

Chris Bowman, Maud De Visscher, Alice Dell'Arciprete +3

We show that the extended Khovanov algebra $K_{n}^{m}$ is an $(∣ n - m ∣ - 1)$ -faithful cover of the Khovanov arc algebra $H_{n}^{m}$ .

math.RT2024

Quiver presentations and Schur--Weyl duality for Khovanov arc algebras

Chris Bowman, Maud De Visscher, Alice Dell'Arciprete +3

We provide an $Ext$ -quiver and relations presentation of the Khovanov arc algebras and prove a precise analogue of the Kleshchev--Martin conjecture in this setting.