From double affine Hecke algebras to quantized affine Schur algebras

2003/07/03 by Michela Varagnolo, Varagnolo, Michela, Éric Vasserot +2 · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT

paper · pdf · doi:10.48550/arxiv.math/0307047

27 pages

openalex publication_date 2003/07/03 · arxiv created 2003/09/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the double affine Hecke algebra of type A is Morita equivalent to the quantized affine Schur algebra.

Cited by

• Composition Factors of Polynomial Representation of DAHA and Crystallized Decomposition Numbers

Related

• Quantized Algebras of Functions on Affine Hecke Algebras
• Categorifications of the extended affine Hecke algebra and the affine q-Schur algebra S(n,r) for 2 < r < n
• Higher level affine Schur and Hecke algebras
• Quantum affine algebras and affine Hecke algebras
• Double affine Hecke algebras at roots of unity