A categorification of Hecke algebras with parameters 1 and v

TL;DR

This paper presents a categorification of the Hecke algebra with parameters 1 and v by modifying the category of Soergel bimodules, providing a new algebraic framework.

Contribution

It introduces a novel categorification approach for the Hecke algebra with specific parameters, expanding the understanding of algebraic structures via categorification.

Findings

New categorification of Hecke algebra with parameters 1 and v

Modified Soergel bimodule category for algebraic modeling

Enhanced algebraic framework for Hecke algebra structures

Abstract

We categorify the Hecke algebra with parameters 1 and v using a variation of the category of Soergel bimodules.