A braid group action on a $p$-DG homotopy category

TL;DR

This paper constructs a braid group action on the homotopy category of p-DG modules over a deformed Webster algebra, advancing the understanding of algebraic symmetries in categorification.

Contribution

It introduces a novel braid group action on a homotopy category of p-DG modules, expanding the algebraic framework of Webster algebras.

Findings

Established a braid group action on the homotopy category

Demonstrated the compatibility with p-DG structures

Provided new tools for categorification in algebra

Abstract

We construct a braid group action on a homotopy category of $p$-DG modules of a deformed Webster algebra.