Theta lift
WebNov 26, 2024 · Here we will mainly talk about local theta correspondence. The Howe duality principle is very neat and clean but also too abstract. Perhaps the ˙rst question beyond the Howe duality is the following: given a dual reductive pair (G,G¤)in Sp(W), when is the local theta lift Θ(ˇ)nonzero? This depends not only on ˇ, but also on G¤, because WebLet X be an even dimensional symmetric bilinear space defined over a totally real number field F with adeles A, and let σ = ⊗vσv be an irreducible tempered cuspidal automorphic representation of O(X,A). We give a sufficient condition for the nonvanishing of the theta lift Θn(σ) of σ to the symplectic group Sp(n,A) (2n by 2n matrices) for 2n ≥ dimX for a large …
Theta lift
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Web[Ku]Stephen Kudla, Notes on the local theta correspondence. [KR]Stephen Kudla, Stephen Rallis, On the ˙rst occurrence in the local theta correspondence, in Automorphic … Webas a theta lift from the anisotropic GSO 4;0. The third is a recent result of Henniart [Hen10] which shows that the local Langlands correspondence for GL n respects the twisted exterior square L-factor. Finally, we have a com-panion paper [GTb] in which we determine completely the three local theta correspondences mentioned above.
WebPublications and preprints Transfers of K-types on local theta lifts of characters and unitary lowest weight modules, (with Hung Yean Loke and U-Liang Tang), ArXiv e-prints:1207.6454, Israel Journal of Mathematics, Vol 201, Issue 1, pp 1-24, 20 June 2014; Derived functor modules, dual pairs and U(g) K-actions, ArXiv e-prints:1310.6378, Journal of Algebra, … WebOct 1, 2013 · The global theta lift θ Y X (π) of π from G (Y) to G (X) is defined to be the space generated by all such functions θ (g, ϕ, f). We consider the tower of theta lifts to G (X a) …
WebAug 11, 2024 · By substituting the expressions for centripetal acceleration a c ( a c = v 2 r; a c = r ω 2 ), we get two expressions for the centripetal force F c in terms of mass, velocity, angular velocity, and radius of curvature: (7.6.4) F c = m v 2 r; F c = m r ω 2. You may use whichever expression for centripetal force is more convenient. WebTransfers of K-types on local theta lifts of characters and unitary lowest weight modules. HY Loke, JJ Ma, UL Tang. Israel Journal of Mathematics 201, 1-24, 2014. 7: 2014: Unipotent representations of real classical groups. J Ma, B Sun, CB Zhu. arXiv preprint arXiv:1712.05552, 2024. 6 * 2024:
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Web(iv) Dual reductive pairs and the local theta correspondence. (v) Global theta correspondence. (vi) Towers of theta lifts. (vii) An example of global theta lift: A theorem … homes frozen in time photosWebA Converse Theorem and the Saito-Kurokawa Lift 351 Proof. If `is a cusp form;this follows from [KS;pp. 197;207] where gis computed as a theta lift of `and is in fact a Maass cusp form of weight 1/2;so ¢1=2 gC(1=4C(r=2)2)gD0 where ¢1=2 Dy 2(@2 xC@ 2 y)¡(1=2)iy@x: If `DE(z;1=2Cir);the theorem follows from the next lemma;part of which is a homes fsbo in palm bay flWebOct 1, 2004 · The theta correspondence has been an important tool in studying cycles in locally symmetric spaces of orthogonal type. In this paper we establish for the orthogonal … homes fsbo helpWebJan 19, 2013 · I am wondering how the relation is between of the automorphic L-function and its lift's. ... On the theta lift and its L-function . Ask Question Asked 10 years ago. … hiring center for walmartWebWe show that the Humbert surfaces rationally generate the Picard groups of Siegel modular threefolds. This involves three ingredients: (1) R. Weissauer’s determination of these Picard groups in terms of theta lifting f… hiring center hobby lobbyWebAs a typical example, we examine the theta lift of a holomorphic discrete series representation with a scalar extreme Kf0-type. Let ˇ0 hol be a holomorphic discrete series representation of Gf0= U(p;q) ˘.Al-though ˇ0 hol itself is fairly well understood, it is not so for its theta lift (ˇ0 hol). By the general arguments of Adams [1, x5 ... homes fsbo in rowan county nchttp://www.math.tifr.res.in/~dprasad/dp.pdf homes fsbo in oak ridge tn