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安徽师范大学概率论与数理统计课件Chapter2 Random Variables and their Mathematical Characters
The action of Γ preserves a Poisson structure de ning a Γ{invariant area form on each −1(t)\ R3. For t < 2, the action of Γ is properly discontinuous on the four contractible components of &...
One aspect of the Langlands program for linear groups is lifting of characters, which relates virtual representations on a group G with those on an endoscopic group for G. The goal of this paper is to...
Suppose G(R) is a real reductive group, with L-group ∨GΓ, and φ : WR →∨G Γ is an L-homomorphism.There is a close relationship between the Lpacket associated to φ and characters the component group of ...
Computing Global Characters     Global Characters       2015/9/28
Let π be an irreducible representation of a real reductive group G. The global character θπ of π may be considered as a function on the regular semisimple elements of G. The global character determine...
In this paper we initiate a quantitative theory of trace characters  of reductive p-adic groups when the representation  varies. Our approach is based on the local constancy of characters and we su...
Every character on a graded connected Hopf algebra decomposes uniquely as a product of an even character and an odd character [2]. We obtain explicit formulas for the even and odd parts of the unive...
Foulkes characters, Eulerian idempotents, and an amazing matrix。
First, we study a descending filtration of the ring of Fricke characters of a free group consisting of ideals on which the automorphism group of a free group acts. Then using it, we define a descendin...
Abstract: Let $F$ be a non-Archimedean local field and let $G$ be the general linear group $G = \text{\rm GL}_n(F)$. Let $\theta_1$, $\theta_2$ be simple characters in $G$. We show that $\theta_1$ int...
Abstract: In 1952, Perron showed that quadratic residues in a field of prime order satisfy certain ad- ditive properties. This result has been generalized in different directions, and our contribution...
Abstract: We prove that every smooth irreducible F_p^alg-linear representation of GL_2(Q_p) admits a central character.
Abstract: The z-measures on partitions originated from the problem of harmonic analysis of linear representations of the infinite symmetric group in the works of Kerov, Olshanski and Vershik (1993, 20...
We introduce a number of definitions of nonfree actions of groups. The most important of them is that of a totally nonfree action; it is naturally related to the theory of characters of groups and the...

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