Theta lifting for loop groups
WebIn this paper we study the theta lifting for loop groups and extend the classical tower property established by S. Rallis to the loop setting. As an application we obtain cusp … WebSally Mathis O’Brien founded My Inner Lighthouse, a healing practice and spiritual community, to bring curious and passionate people together and introduce them to the magic of the Ascended ...
Theta lifting for loop groups
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Webin terms of the LLC; similarly, in [AG17], Atobe-Gan described the theta lifts of tempered representations in terms of the LLC. In this paper, we “turn the table around”, namely, imitating the prediction of Prasad conjecture, we construct a Vogan version LLC for unitary groups. We also write a parallel paper [CZ21], WebJan 15, 2024 · In this article, we construct mixed generating functions of special cycles and mixed arithmetic theta lifting, and prove the product relation. We then formulate a conjecture on the arithmetic inner product formula for odd rank unitary groups, complementary to the even rank case previously formulated in the author’s thesis.
WebLOCAL-GLOBAL NON-VANISHING OF THETA LIFTS 5577 case, Θ 1(V σ) is the space of an irreducible cuspidal representation Π such that Π∨ = τJL 1 = τJL 2. (2) If d =1and σ is extended from π = π(τ,χ), then the theta lift Θ 1(V σ) to GSp(1,A F) does not vanish if and only if τJL is the base change lift of an irreducible cuspidal automorphic representation τ … WebAbstract: In joint work with Hiraku Atobe, we determine the theta lifting of irreducible tempered representations for symplectic-metaplecticorthogonal and u...
WebAug 15, 2024 · Request PDF Theta lifting for loop groups In this paper we study the theta lifting for loop groups and extend the classical tower property established by S. Rallis to … WebIn this article, we study the theta lifting for loop groups and extend the classical tower property established by S. Rallis to the loop setting. As an application, we obtain cusp …
Webtheta lifts from orthogonal groups, see [30], [38]. By definition, our local liftings are another type of theta lift coming from SL(2, F v). What we will prove is an identity between local theta lifts on GSp(4,F v) coming from GO(X,F v), where X is an anisotropic four-dimensional quadratic space with discriminant 1, and others coming from SL(2, F
WebCORE is not-for-profit service delivered by the Open University and Jisc. hospitality and tourism industry in malaysiaWebJan 1, 2024 · Request PDF On Jan 1, 2024, Dongwen Liu and others published Theta lifting for loop groups Find, read and cite all the research you need on ResearchGate psychoanalytic fellowshipWebin terms of the LLC; similarly, in [AG17], Atobe-Gan described the theta lifts of tempered representations in terms of the LLC. In this paper, we “turn the table around”, namely, … psychoanalytic explanationhttp://www.numdam.org/item/AST_2010__332__369_0/ hospitality and tourism industry jobsWebMar 7, 2016 · The area of one half of the inside loop is given by $\displaystyle\frac{1}{2} \int \limits_{\pi}^{4\pi/3} (\frac{1}{2} +\cos \theta)^2 d\theta$. See This. Now, we subtract the outer loop from the inner loop and multiply by $2$ to account for symmetry: psychoanalytic feminism pdfWeb3. Theta lifts 15 3.1. Weil representations15 3.2. The archimedean case16 3.3. Doubling zeta integrals17 3.4. A duality property of doubling zeta integrals19 4. Arithmetic theta lifts23 4.1. Shimura varieties attached to incoherent unitary groups23 4.2. Hecke actions24 4.3. Generating series25 4.4. Pullback of generating series27 4.5 ... psychoanalytic feminism examplesWebJan 1, 2024 · Keywords: 22E55 / 22E67 / cusp forms / Loop groups / Theta lifting / Weil representations hospitality and tourism management humber