Matching of orbital integrals (transfer) and Roche Hecke algebra isomorphisms
نویسندگان
چکیده
منابع مشابه
On Hecke Algebra Isomorphisms and Types for Depth-zero Principal Series
These lectures describe Hecke algebra isomorphisms and types for depth-zero principal series blocks, a.k.a. Bernstein components Rs(G) for s = sχ = [T, e χ]G, where χ is a depth-zero character on T (O). (Here T is a split maximal torus in a p-adic group G.) We follow closely the treatment of A. Roche [Ro] with input from D. Goldstein [Gol] and L. Morris [Mor]. We give an elementary proof that (...
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1 The affine Hecke algebra 1.1 The alcove walk algebra Fix notations for the Weyl group W , the extended affine Weyl group W , and their action on Ω × h * R as in Section 2. Label the walls of the alcoves so that the fundamental alcove has walls labeled 0, 1,. .. , n and the labeling is W-equivariant (see the picture in (2.12)). The periodic orientation is the orientation of the walls of the al...
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ژورنال
عنوان ژورنال: Compositio Mathematica
سال: 2020
ISSN: 0010-437X,1570-5846
DOI: 10.1112/s0010437x19007838