Some Interesting Nonspherical Tempered Representations of Graded Hecke Algebras
نویسنده
چکیده
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 property of being nonspherical despite being the only tempered representation appearing at its infinitesimal character. Additional nonspherical tempered representations of H(H4) are also included.
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.
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We prove a strong induction theorem and classify the tempered and square integrable representations of graded Hecke algebras.
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