A geometric Schur-Weyl duality for quotients of affine Hecke algebras

Guillaume Pouchin

Research output: Contribution to journalArticlepeer-review

Abstract

After establishing a geometric Schur–Weyl duality in a general setting, we recall this duality in type A in the finite and affine case. We extend the duality in the affine case to positive parts of the affine algebras. The positive parts have nice ideals coming from geometry, allowing duality for quotients. Some of the quotients of the positive affine Hecke algebra are then identified to some cyclotomic Hecke algebras and the geometric setting allows the construction of canonical bases.
Original languageEnglish
Pages (from-to)230–247
Number of pages17
JournalJournal of Algebra
Volume321
Issue number1
Early online date16 Dec 2008
DOIs
Publication statusPublished - Jan 2009

Keywords / Materials (for Non-textual outputs)

  • REPRESENTATION-THEORY
  • quantum groups
  • Affine Hecke algebra
  • Schur–Weyl duality

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