The representation theory of graded Hecke algebras

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Graded Hecke algebras are infinite-dimensional noncommutative algebras which can be defined using reflection groups, such as the symmetries of a 2n-gon or an icosahedron. Not only did certain of these algebras arise originally in the work of G. Lusztig on the representation theory of p-adic groups, they are also of interest for their own sake, in part due to recent connections to Yang's n-particle problem in physics. This talk will include results on the classification of representations of graded Hecke algebras, as well as an unexpected result related to a number theoretic conjecture on the existence of Whittaker models.

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Friday, October 10, 1997
4:10 p.m. in MA 109
Coffee/Tea/Treats 3:30 p.m. in MA 104 (Lounge)

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