Two boundary Braid groups, Hecke algebras and tantalizer algebras
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 Arun Ram (Melbourne and INI)
 Wednesday 28 January 2009, 16:3017:30
 MR12.
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
AskeyWilson polynomials. One interesting quotient of the DAHA is the two boundary TemperleyLieb algebra. The 2 boundary TemperleyLieb algebra points the way to a family of centralizer algebras which includes the 2 boundary BMW (BirmanMurakamiWenzl) 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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