Theta lifting

Author: htdx

August undefined, 2024

Web2 Theta lift The function ThetaLift(wt,S,mbs,coeffs,prec) outputs the additive theta lift of a linear combination of PSS Q k;m; (in even weight) or PSSd R k;m; (in odd weight). Here, wt … WebAug 15, 2024 · In 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 …

Theta lifting for some cohomologicaly induced representations

WebTheta Lifting and Cohomology Growth in p-adic Towers 3 quite large, and, in particular, is the entire cohomological dual in the cases, in which G(R) is SO(n,1) or U(n,1).Moreover, in [11], he proves that if π is such a representation and n>2n +4d−2, then π is automorphic, that is there exists a congruence subgroup Γ such that⊂Γ π occurs discretely in L2(Γ \G(R)). WebConjecture 1.1 gives an upper bound of the first non-zero occurrence of the theta lifting. In the generic case where O= (2k+ 1), Conjecture 1.1 agrees with the conjecture made in [6] … ford dealer greentown indiana

THETA LIFTING OF HOLOMORPHIC DISCRETE SERIES: THECASEOF

WebIn this work we present an extension of the classical theta correspondence to higher degree metaplectic covers of symplectic and special orthogonal groups. The key issue here is that for higher degree covers there is no analogue of the Weil representation, and additional ingredients are needed. WebApr 13, 2024 · Νεαρός επιβάτης κατηγορείται ότι χτύπησε οδηγό λεωφορείου του ΟΑΣΘ, στη διάρκεια δρομολογίου της γραμμής «34», χθες το απόγευμα, καθώς το λεωφορείο βρισκόταν στην οδό Μακρυγιάννη, στη Σταυρούπολη. Websituation, ˇcan be realized as the theta lift of a cuspidal representation of GSp 4. Remark 1. It is natural to ask what happens if we consider the theta correspondence for (Sp 2n;O(4)), … ellis hass \u0026 co

Classical Theta Lifts for Higher Metaplectic Covering Groups

Theta lifting for tempered representations of real unitary groups

WebMar 26, 2024 · Namely, we find a global theta lift such that • at one real place, its localization is the theta lift of an arbitrary (limit of) discrete series representation; • at another real … WebOn two arithmetic theta lifts - Volume 154 Issue 10. Our aim is to clarify the relationship between Kudla’s and Bruinier’s Green functions attached to special cycles on Shimura … ellis hass \\u0026 coWeb2 Theta series and L-functions In this section, we explore the connection between theta series and L-functions. The goal is to give less trivial applications of theta series in … ellis hatch fly tyer

"WebWe study cuspidal automorphic representations of unitary groups of 2n variables with ϵ-factor −1 and their central L-derivatives by constructing their arithmetic theta liftings, … " - Theta lifting

Theta lifting

WebWe generalize the Shimura–Waldspurger correspondence, which describes the generic part of the automorphic discrete spectrum of the metaplectic group M p 2, to the metaplectic group M p 2 n of higher rank. To establish this, we transport Arthur’s endoscopic classification of representations of the odd special orthogonal group S O 2 r + 1 ... WebOn two arithmetic theta lifts (with Stephan Ehlen) Compositio Math., 154 (2024), pp. 2090--2149. Improper intersections of Kudla-Rapoport divisors and Eisenstein series J. Math. …

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WebMar 7, 2024 · Download PDF Abstract: We study a new lifting of automorphic representations using the theta representation $\Theta$ on the $4$-fold cover of the … ford dealer hawley paWebNov 27, 2024 · On this page of SOMA Guide you'll find a second walkthrough for Theta Station location. Jump down and regenerate your health. After landing in the ventilation … ford dealer hamilton rd columbus ohioWebNov 27, 2024 · Theta SOMA Game Walkthrough. On this page of SOMA Guide you'll find awalkthrough for third Theta Station location. You won't be able to avoid this scene. When … ford dealer hamilton ontarioWebJan 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 … ellis haven campsiteWebMar 26, 2024 · We study the theta lifting for real unitary groups and completely determine the theta lifts of tempered representations. In particular, we show that the theta lifts of … ford dealer hervey bay qldWebTheta lift to 1-dimensional vector space. Hi! My question is very simple and it is about the theta lift of unitary group in global situation. Let E / F be a quadratic number fields and V, W be an n -dimensional and 1 -dimensional hermitian E -vector spaces respectively. Let π be an automorphic cuspidal representation of U ( V). ford dealer hazelwood moWebtheta liftings. Roughly speaking, for each place v of F, the local theta lifting relates irreducible admissible representations of Gv and G0 v. Similarly the global theta lifting … ellis haven campground in plymouth ma