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math.RT2003★ 3 cited
Structure constants for Hecke and representation rings
Thomas J. Haines
We study the structure constants defining two related rings: the spherical Hecke algebra of a split connected reductive group over a non-Archimedean local field, and the representa…
math.RT2002
Formulae relating the Bernstein and Iwahori-Matsumoto presentations of an affine Hecke algebra
Thomas J. Haines, Alexandra Pettet
We give explicit formulae for certain elements occurring in the Bernstein presentation of an affine Hecke algebra, in terms of the usual Iwahori- Matsumoto generators. We utilize c…
math.RT2001
Alcoves associated to special fibers of local models
T. Haines, B. C. Ngo
The special fiber of the local model of a PEL Shimura variety with Iwahori-type level structure admits a cellular decomposition. The set of strata is in a natural way a finite subs…