Induction and Restriction Functors for Cyclotomic q-Schur Algebras

2011/12/28 by Kentaro Wada, Wada, Kentaro
Mathematics · #17B37 #20C08 #20G42 #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1112.6068

openalex publication_date 2011/12/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Quiver Schur algebras and q-Fock space

Related

• Presenting cyclotomic q-Schur algebras
• Quiver Schur algebras and q-Fock space
• Cyclotomic q-Schur superalgebras
• New realization of cyclotomic q-Schur algebras I
• The representation theory of the Ariki-Koike and cyclotomic q-Schur algebras