Schur-Weyl dualities for shifted quantum affine algebras and Ariki-Koike algebras

2023/10/23 by Kentaro Wada, Wada, Kentaro
Mathematics · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.2310.14630

openalex publication_date 2023/10/23 · openalex created_date 2023/10/25 · openalex updated_date 2026/07/28

Abstract

We establish a Schur-Weyl duality between a shifted quantum affine algebra and an Ariki-Koike algebra. Then, we realize a cyclotomic q-Schur algebra in the context of the Schur-Weyl duality.

Related

• The representation theory of the Ariki-Koike and cyclotomic q-Schur algebras
• Higher Representation Theory and Quantum Affine Schur-Weyl Duality
• Geometric Schur Duality of two parameter quantum group of type A
• Affine Hecke algebras and quantum symmetric pairs
• Schur-Sergeev duality for Ariki-Koike algebras