Induction for extended affine type A Soergel bimodules from a maximal parabolic

TL;DR

This paper advances the categorification of the Zelevinsky tensor product for finite-dimensional representations of extended affine type A Hecke algebras, focusing on Soergel bimodules.

Contribution

It introduces a new approach to categorify the Zelevinsky tensor product using extended affine type A Soergel bimodules from a maximal parabolic.

Findings

Establishes a categorification framework for the Zelevinsky tensor product.

Connects Soergel bimodules with extended affine type A Hecke algebra representations.

Lays groundwork for further categorification studies in affine types.

Abstract

In this paper we take a first step towards the categorification of the Zelevinsky tensor product of finite dimensional representations of extended affine type A Hecke algebras.