Induction and Restriction Functors for Cyclotomic q-Schur Algebras

TL;DR

This paper introduces induction and restriction functors for cyclotomic q-Schur algebras and uses them to categorify a higher level Fock space, advancing the understanding of their algebraic and categorical structures.

Contribution

It defines new functors for cyclotomic q-Schur algebras and applies them to categorify a higher level Fock space, providing novel tools and insights.

Findings

Defined induction and restriction functors for cyclotomic q-Schur algebras

Categorified a higher level Fock space using module categories

Studied properties of the introduced functors

Abstract

We define the induction and restriction functors for cyclotomic q-Schur algebras, and study some properties of them. As an application, we categorify a higher level Fock space by using the module categories of cyclotomic q-Schur algebras.