Isomorphisms between affine Hecke algebras

2010/01/10 by Jie-Tai Yu, Yu, Jie-Tai
Mathematics · #Advanced Algebra and Geometry #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.1001.1524

The paper has been withdrawn

openalex publication_date 2010/01/10 · arxiv created 2012/02/14 · arxiv updated 2012/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let k be a field and suppose p, q∈ k. We prove that the two affine Hecke algebras H_q and H_p of type A_n are isomorphic as k-algebras if and only if p=q^{± 1}.

Citations

• Isomorphisms between quantum groups U_q(\mathfraksl_n+1) and U_p(\mathfraksl_n+1)

Related

• Isomorphisms of type A affine Hecke algebras and multivariable orthogonal polynomials
• Iwahori's Question for Affine Hecke Algebras
• Hecke algebras for GL_n over local fields
• On representation theory of affine Hecke algebras of type B
• Hecke algebra isomorphisms and adelic points on algebraic groups