Cuspidal Local Systems and Graded Hecke Algebras, Iii
نویسنده
چکیده
We prove a strong induction theorem and classify the tempered and square integrable representations of graded Hecke algebras.
منابع مشابه
Cuspidal local systems and graded Hecke algebras,II, Representations of groups
We prove a strong induction theorem and classify the tempered and square integrable representations of graded Hecke algebras.
متن کاملSMOOTH REPRESENTATIONS OF GLm(D) VI : SEMISIMPLE TYPES
We give a complete description of the category of smooth complex representations of the multiplicative group of a central simple algebra over a locally compact nonarchimedean local eld. More precisely, for each inertial class in the Bernstein spectrum, we construct a type and compute its Hecke algebra. The Hecke algebras that arise are all naturally isomorphic to products of a ne Hecke algebras...
متن کاملTwisted Graded Hecke Algebras
We generalize graded Hecke algebras to include a twisting twococycle for the associated finite group. We give examples where the parameter spaces of the resulting twisted graded Hecke algebras are larger than that of the graded Hecke algebras. We prove that twisted graded Hecke algebras are particular types of deformations of a crossed product.
متن کاملSome Interesting Nonspherical Tempered Representations of Graded Hecke Algebras
Lusztig’s presentation of the graded Hecke algebra in terms of generators and relations allows for the definition of algebras associated to noncrystallographic root systems. The representation theory of general graded Hecke algebras is investigated, the expected number of tempered representations for H(H3) are accounted for, and it is shown that one of these representations has the unexpected p...
متن کاملHochschild Cohomology and Graded Hecke Algebras
We develop and collect techniques for determining Hochschild cohomology of skew group algebras S(V )#G and apply our results to graded Hecke algebras. We discuss the explicit computation of certain types of invariants under centralizer subgroups, focusing on the infinite family of complex reflection groups G(r, p, n) to illustrate our ideas. Resulting formulas for Hochschild two-cocycles give i...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2002