P-adic cartan decomposition

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August undefined, 2024

WebFOR p-ADIC GROUPS ALLAN J. SILBERGER ABSTRACT. Let G be a reductive p-adic group. In his paper, "The Plancherel ... Then we have the Cartan decomposition G = KM+K. Writing ?MO = ker(H) = MO n K, we choose a set of representatives F for MN/0MoZ., Then, G = KFKZ and each element of F, except for a finite subset, is positive on at least … WebOct 10, 2024 · The quantity a n is called the order-n residue of such a p-adic integer. An ordinary integer N (also called a rational integer in this context) is a special case of a p …

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WebHow can we think of a Cartan decomposition of O q ( Q p)? Is there a notion of Cartan involution for p-adic field, so that we can execute same process as we do for reals to find a Cartan decomposition? Any reference would be highly helpful. nt.number-theory rt.representation-theory lie-groups algebraic-groups quadratic-forms Share Cite Web16 Decomposition theorem and l-adic sheaves, I是perverse sheaves 反常层 (偏屈层)的第17集视频，该合集共计23集，视频收藏或关注UP主，及时了解更多相关视频内容。 holidays rotten tomatoes

A Cartan decomposition for p-adic loop groups

WebFeb 2, 2024 · Iwasawa and Cartan decomposition of $p$-adic classical groups - Mathematics Stack Exchange Let $G:=GL(n)$ be defined over $F:=\mathbb{Q}_p$ (for … WebAbstract. In this note we formulate and prove a version of Cartan decomposition for holomorphic loop groups, similar to Cartan decomposition for p-adic loop groups, dis-cussed in [3], [6]. The main technical tool that we use is the (well-known) interpretation of twisted conjugacy classes in the holomorphic loop group in terms of principal ... Web1. p-adic numbers and p-adic groups Q p: completion of Q with respect to metric induced by non-Archimedean absolute value pna/b = p−n, a,bcoprime to p, n∈Z. Q p is a topological ﬁeld. It is locally proﬁnite: Deﬁnition 1.1. A topological group Gis locally proﬁnite if it is Hausdorﬀ and every open neighbourhood of the identity contains a compact open … holidays russia2018

Polar Decomposition for P-adic Symmetric Spaces International ...

WebCARTAN DECOMPOSITION FOR p-ADIC SYMMETRIC SPACES 3 If one compares with Offen’s decompositions [2004, Proposition 3.1], one sees that in each of his Cases 1 and … WebA p-adic number is an extension of the field of rationals such that congruences modulo powers of a fixed prime p are related to proximity in the so called "p-adic metric." Any … holidays sensatori hotelsWebFeb 6, 2014 · Cartan decomposition for complex loop groups Alexander Braverman, David Kazhdan In this note we formulate and prove a version of Cartan decomposition for holomorphic loop groups, similar to Cartan decomposition for -adic loop groups, discussed proved by Garland (and later by the authors by geometric mathods). holidays russia 2022

"WebThe field ℚ p. Structure of GL n (F) Cartan decomposition. Bruhat-Tits decomposition. Iwasawa decomposition. Haar Measure. Smooth representations. Induced representations, case of GL 2 (F) Jacquet Functor. Cuspidal representations, case of GL 2 (F) Decomposing principal series. c-function. Unitary representations. Steinberg representation. A ... " - P-adic cartan decomposition

P-adic cartan decomposition

Webp-adic reductive group, building, Cartan decomposition, symmetric space Mathematical Subject Classification 2000 Primary: 22E35 Milestones Received: 18 January 2010 … Web1 FACULTEIT WETENSCHAPPEN EN BIO-INGENIEURSWETENSCHAPPEN DEPARTEMENT WISKUNDE Idempotenten in Groepringen Proefschrift i...

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Weban analogue of the Cartan decomposition for the reductive symmetric space H knG k in the case where G is k-split and p is odd. More precisely, we obtain a decomposition of G k as a union of .H k;K/-double cosets, where K is the stabilizer of a special point in the Bruhat–Tits building of G over k. This decomposition is related to the H k ... WebAN ANALOGUE OF THE CARTAN DECOMPOSITION FOR p-ADIC SYMMETRIC SPACES OF SPLIT p-ADIC REDUCTIVE GROUPS by P. Delorme & V. S echerre Abstract. Let kbe a non-Archimedean locally compact eld of ...

WebApr 22, 2011 · This decomposition is related to the Hk-conjugacy classes of maximal σ-antiinvariant k-split tori in G. In a more general context, Benoist and Oh obtained a polar … WebWe define Radon transform and its inverse on the two-dimensional anti-de Sitter space over local fields using a novel construction through a quadratic equation over the local field. We show that the holographic bulk reconstruction of quantum fields

WebYou should have a look at the following article by Delorme and Secherre : Delorme, Patrick; Sécherre, Vincent, An analogue of the Cartan decomposition for p -adic symmetric … http://www.math.tau.ac.il/~bernstei/Publication_list/publication_texts/bernstein-P-tame-FAN.pdf

WebIn mathematics, a p-adic zeta function, or more generally a p-adic L-function, is a function analogous to the Riemann zeta function, or more general L-functions, but whose domain …

WebHere, K is maximal compact subgroup as you indicated and I am asking it in local fields case.(especially real and p-adic field) This is the link that connect to the post in mathstackexchange regarding this. ... Let me formulate the Cartan decomposition for a reductive group over a local field ... holiday spain villaWebAbstract. In this note we formulate and prove a version of Cartan decomposition for holomorphic loop groups, similar to Cartan decomposition for p 𝑝 p italic_p-adic loop groups, discussed in [], [].The main technical tool that we use is the (well-known) interpretation of twisted conjugacy classes in the holomorphic loop group in terms of … holidays spain tuiWebDec 12, 2006 · POLAR DECOMPOSITION FOR P-ADIC SYMMETRIC SPACES OH Hee Mathematics 2007 Let G be the group of k-points of a connected reductive k-group and H a symmetric subgroup associated to an involution σ of G. We prove a polar decomposition G = KAH for the symmetric space G/H over… Expand 21 PDF View 1 excerpt holidays sandpoint holidays sliema maltaWeb1. p-adic numbers and p-adic groups Q p: completion of Q with respect to metric induced by non-Archimedean absolute value pna/b = p−n, a,bcoprime to p, n∈Z. Q p is a … holidays to altinkumWebFeb 6, 2014 · In this note we formulate and prove a version of Cartan decomposition for holomorphic loop groups, similar to Cartan decomposition for $p$-adic loop groups, … holidays synopsisWebA Cartan decomposition for p -adic loop groups H. Garland Mathematische Annalen 302 , 151–175 ( 1995) Cite this article 84 Accesses 13 Citations Metrics Download to read the … holidays timeline