University of Cambridge > Talks.cam > Algebra and Representation Theory Seminar > Two boundary Braid groups, Hecke algebras and tantalizer algebras

Two boundary Braid groups, Hecke algebras and tantalizer algebras

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  • UserArun Ram (Melbourne and INI)
  • ClockWednesday 28 January 2009, 16:30-17:30
  • HouseMR12.

If you have a question about this talk, please contact Jan Saxl.

The double affine Hecke algebra (DAHA) of type C has special properties (6 parameters!) and distinguished quotients. The Macdonald polynomials for this Hecke algebra are the Koornwinder polynomials and the Askey-Wilson polynomials. One interesting quotient of the DAHA is the two boundary Temperley-Lieb algebra. The 2 boundary Temperley-Lieb algebra points the way to a family of centralizer algebras which includes the 2 boundary BMW (Birman-Murakami-Wenzl) algebras. This talk will be a medley of vignettes around double affine type C braid groups and quotient algebras.

This talk is part of the Algebra and Representation Theory Seminar series.

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