Generalized whittaker model

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August undefined, 2024

WebThe ﬁrst nilpotent invariant to beexamined is the space ofgeneralized Whittaker models [63, 39, 57]. As it is well-known, the study of Whittaker and generalized Whittaker models for representations evolved in connection with the theory of automorphic forms, and has found numerous applications. See for example [48, 40, 23, 22, 63, 57]. WebJan 29, 2024 · We study generalized and degenerate Whittaker models for reductive groups over local fields of characteristic zero (archimedean or non-archimedean). Our main result is the construction of ...

Generalized Whittaker functions on GSp(2, R ) associated with ...

WebWhittaker space. We call them generalized or neutral if (H, j) can be completed to an sl 2-triple. The generalized Whittaker space depends only on the coadjoint orbit of j. WS(p) … WebJul 1, 1984 · We also introduce a different construction of L functions for GSp (4) x GL (2) that is applicable to representations that do not have a Whittaker model-for instance, those that correspond to... period aches during pregnancy

GENERALIZED AND DEGENERATE WHITTAKER

WebThe generalized Whittaker model is the image of XΘ,λ by the element of Homg C,K(XΘ,λ,C ∞ η (U\G)). Then we can show the following characterization theorem of the generalized Whittaker model. Theorem 1.1 (see Theorem 3.6). Assume that X∗ Θ,λ is irreducible. We take a 2 WebThe Whittaker dimension is a polynomial of n, as nvaries. This resonates with the aforementioned fact that for covers the Whittaker dimension (equivalently, the coeﬃcients cπ(Oreg)) is not dictated by the L-parameter of the genuine representation. It is expected that the analogue of (1.2) also holds for covers. WebThe study of Whittaker and generalized Whittaker models for representations of reductive groups over local elds evolved in connection with the theory of automorphic forms (via … period a week early pregnancy

Whittaker vectors and associated varieties SpringerLink

A Stone-von Neumann equivalence of categories for smooth ...

WebWhittaker vectors and associated varieties. Hisayosi Matumoto. Inventiones mathematicae 89 , 219–224 ( 1987) Cite this article. 203 Accesses. 28 Citations. Metrics. Download to … period absorbing pantiesWebOct 1, 2010 · We obtain the dimensions of the generalized Whittaker models and give their basis in terms of hypergeometric functions of one and two variables. 1 Generalized Whittaker models for degenerate prin‐ cipal series of GL(n, \mathbb{R}) 1.1 Degenerate principal… Expand kurims.kyoto-u.ac.jp Save to LibrarySave Create AlertAlert Cite … period aches and pains

"WebIn such a situation, one introduces the notion of a generalized Whittaker model, now called a Bessel model. These Bessel models have been used to obtain integral representations of L-functions. It is known that, if A is the ring of adeles of a number ﬁeld, an automorphic representation of GSp 4.A/ " - Generalized whittaker model

Generalized whittaker model

Generalized and degenerate Whittaker models for …

WebJSTOR Home WebApr 7, 2024 · In this paper, we will give some combinatorial characterizations of the annihilator varieties of highest weight modules for classical Lie algebras. In fact, we will give two algorithms, i.e.,...

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WebUse of the Jeffreys invariant prior in generalized linear models has been studied recently by a number of authors. In models with canonical link, the posterior mode has asymptotic bias of smaller order than that of the maximum likelihood estimate. In this paper a new... WebThe study of Whittaker and generalized Whittaker models for representations of reductive groups over local ﬁelds evolved in connection with the theory of …

WebGENERALIZED WHITTAKER FUNCTIONS AND JACQUET MODULES NADIR MATRINGE Abstract. Let F be a non-Archimedean local ﬁeld and G be (the F-points of) a connected … WebJul 30, 2024 · Abstract: The study of Whittaker models for representations of reductive groups over local and global fields has become a central tool in representation theory …

WebThe study of Whittaker and generalized Whittaker models for representations of reductive groups over local fields evolved in connection with the theory of automorphic forms (via their Fourier coefficients), and has found important … WebFeb 23, 2015 · We study generalized and degenerate Whittaker models for reductive groups over local fields of characteristic zero (archimedean or non-archimedean).

WebGeneralized Whittaker functions and Jacquet modules HTML articles powered by AMS MathViewer by Nadir Matringe PDF Represent. Theory 27 (2024), 62-79 Request …

WebOct 1, 2011 · We study the generalized Whittaker models for G = GSp (2,R) associated with indefinite binary quadratic forms when they arise from two standard representations of G: (i) a generalized... period action moviesWebGeneralized Whittaker models associated to nilpotent orbits 11 4. A realization of generalized Whittaker models: kArchimedean 12 4.1. Norms on G 12 4.2. Inequalities regarding norms 13 4.3. Some spaces of rapidly decreasing functions on G 15 4.4. Realizing a generalized Whittaker model on N\G 18 5. Dual pairs and theta lifting of nilpotent ... period adjective definitionWebJul 30, 2024 · Generalized and degenerate Whittaker quotients and Fourier coefficients Dmitry Gourevitch, Siddhartha Sahi The study of Whittaker models for representations of reductive groups over local and global fields has become a central tool in representation theory and the theory of automorphic forms. period acid–schiff stainWeb[MW87, V14] on determining the top generalized Whittaker models in the case of GL n. 2.1. The generalized and degenerate Whittaker-Fourier coe cients. Let G be a reductive group de ned over a number eld F, and g be the Lie algebra of G(F). Given any semi-simple element s2g, under the adjoint action, g is decomposed into a direct sum of ... period actionWebIn this paper, we introduce a general family of distributions based on Whittaker function. The properties of obtained distributions, moments, ordering, percentiles, and unimodality are studied. The distributions’ parameters are estimated using methods of moments and maximum likelihood. Furthermore, a generalization of Whittaker distribution that … period action dayWebFeb 23, 2015 · Abstract: We study generalized and degenerate Whittaker models for reductive groups over local fields of characteristic zero (archimedean or non … period activewearWebJan 9, 2024 · In this section, we recall the generalized and degenerate Whittaker–Fourier coefficients attached to nilpotent orbits, as well as some related basic definitions mentioned in Sect. 1, following the formulation in [].Then we introduce a local criterion due to [27, 37] on determining the top generalized Whittaker models in the case of \({\mathrm {GL}}_n\). period adjective