Quantum symmetric pairs and representations of double affine Hecke algebras of type C∨Cn

D. Jordan, X. Ma

Research output: Contribution to journalArticlepeer-review

Abstract

We build representations of the affine and double affine braid groups and Hecke algebras of type C based upon the theory of quantum symmetric pairs (U, B). In the case U = u(g), our constructions provide a quantization of the representations constructed by Etingof, Freund, and Ma in [15], and also a type C generalization of the results in [19].
Original languageEnglish
Pages (from-to)139-181
Number of pages43
JournalSelecta Mathematica (New Series)
Volume17
Issue number1
DOIs
Publication statusPublished - 1 Jan 2011

Keywords

  • Quantum D-modules
  • Double affine Hecke algebras
  • Primary 17B37
  • Secondary 20C08

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