منابع مشابه
Motivic Nature of Character Values of Depth-zero Representations
In the present paper, it is shown that the values of HarishChandra distribution characters on definable compact subsets of the set of topologically unipotent elements of some reductive p-adic groups can be expressed as the trace of Frobenius action on certain geometric objects, namely, Chow motives. The result is restricted to a class of depth-zero representations of symplectic or special ortho...
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Let K/F be a quadratic extension of p-adic fields, σ the nontrivial element of the Galois group of K over F , and ∆ a quasi-square-integrable representation of GL(n,K). Denoting by ∆∨ the smooth contragredient of ∆, and by ∆σ the representation ∆ ◦ σ, we show that representation ofGL(2n,K) obtained by normalized parabolic induction of the representation ∆∨⊗∆σ, is distinguished with respect to G...
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We study the class of depth zero Boolean algebras, both from a classical viewpoint and an effective viewpoint. In particular, we provide an algebraic characterization, constructing an explicit measure for each depth zero Boolean algebra and demonstrating there are no others, and an effective characterization, providing a necessary and sufficient condition for a depth zero Boolean algebra of ran...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2015
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2014.03.001