GENERATORS of groupsIn this paper, we introduce the Newton decomposition on a connected reductive p-adic group G. Based on it we give a nice decomposition of the cocenter of its Hecke algebra. Here we consider both the ordinary cocenter associated to the usual conjugation action on G and...
In this paper, we show that the elliptic cocenter of the Hecke algebra of a connected reductive p -adic group is contained in the rigid cocenter. As applications, we prove the trace Paley–Wiener theorem and the abstract Selberg principle for mod- l representations....
Let G be a classical group or a metaplectic group, defined over a p-adic field F. That is, let X be a finite dimensional F-vector space, Φ a nondegenerate bilinear form over X, symmetric or skew...doi:10.1007/978-1-4612-2582-9_9C. Moeglin...
S. DeBacker, Homogeneity results for invariant distributions of a reductive p-adic group, Ann. Sci. E´ cole Norm. Sup. (4) 35 (2002), 391-422. MR1914003 (2003i:22019)Stephen Debacker. Homogeneity results for invariant distributions of a reductive p-adic group. Ann. Sci. E´cole ...
Suppose P is the ring of p -adic integers, G is a finite group of order p n , and PG is the group ring of G over P . If V p (G) denotes the elements of PG with coefficient sum one which are of order a power of p , it is shown that the elements of any subgroup H of ...
并且with several legs,由此(exterior product of ULA perverse sheaves)得到factorization structures(spectral action的前置)以及Hecke action: D(Bun_G) -> D(Bun_G x X^I) “=”(Drinfeld) D(Bun_G) x D(X^I) "="(Shtukas) D(Bun_G)^{with the action of I-th products of the Weil group ...
p-adic Fourier-theory and p-divisible group https://arxiv.org/abs/2409.20322v1 撞车实例,继承 G. Kings and J. Sprang,Eisenstein-Kronecker classes, integrality of critical values of Hecke L-functions and p-adic interpolation, to appear in Annals of Mathematics....
On the automorphism group of the p -adic group ring of a metacyclic p -group In a recent paper [ibid. 82, 488-507 (1983; Zbl 0539.16006)] the author proved that for certain metacyclic p-groups G, Outcent(Z p G)=1, where Z p G is the group ring of G over the ring of p-...
Bushnell which forms part of our ongoing program of understanding the category of smooth (complex) representations of a p -adic group in terms of certain irreducible representations of compact, open subgroups. Motivation for this program comes from two special cases which may be viewed as extreme ...
Let G be any reductive p-adic group. We discuss several conjectures, some of them new, that involve the representation theory and the geometry of G.At the ... AM Aubert,P Baum,R Plymen,... - 《Mathematics》 被引量: 14发表: 2015年 ...