Quantized Algebras of Functions on Affine Hecke Algebras

2001/01/02 by Do Ngoc Diep, Diep, Do Ngoc
Mathematics · Physics and Astronomy · #20C08 (Primary) 22D25 #22E35 #22E45 (Secondary) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Operator Algebras (math.OA) #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math-ph #math.MP #math.OA #math.QA #math.RT #msc:20C08 #msc:22D25 #msc:22E35 #msc:22E45

paper · pdf · doi:10.48550/arxiv.math/0101015

18 pages, Latex

arxiv created 2001/01/02 · arxiv updated 2009/11/30

Abstract

The so called quantized algebras of functions on affine Hecke algebras of type A and the corresponding q-Schur algebras are defined and their irreducible unitarizable representations are classified.

Related

• From double affine Hecke algebras to quantized affine Schur algebras
• Quantum affine algebras and affine Hecke algebras
• Categorifications of the extended affine Hecke algebra and the affine q-Schur algebra S(n,r) for 2 < r < n
• Affine quantum Schur algebras at roots of unity
• Presenting affine q-Schur algebras