Composition of theta correspondences

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August undefined, 2024

WebComposition of Theta Correspondences Authors: Hongyu He Louisiana State University Abstract Theta correspondence θ over R is established by Howe (J. Amer. Math. Soc. … WebOct 23, 2002 · In this paper, we study the compositions of theta correspondences. Under certain favorable conditions, we prove that the composition of theta correspodence yields unitary representations. We call this process quantum induction. Quantum induction resembles parabolic induction in various ways. Some results in this paper were …

arXiv:2006.04023v1 [math.RT] 7 Jun 2024

WebThis completes a geometric construction of the basic objects which are needed to consider the theta correspondence, which recovers the classical objects if we work over SpecC. … WebThe theta correspondence and harmonic forms. II. Preprint Millson, J.: Cycles and harmonic forms on locally symmetric spaces. Cand. Math. Bull. 28, 3–38 (1985) Google … family guy asian guy

(PDF) Composition of Theta Correspondences

Web2 WEE TECK GAN AND GORDAN SAVIN The ﬁrst main result of this paper is the following dichotomy theorem: Theorem 1.1. Let π∈ Irr(G2(F)).Then πhas nonzero theta lift to exactly one of PD× or ... Webhttp://www.elsevier.com/locate/aim WebApr 12, 2024 · 2.2 Event Selection and Processing. The average densities \(\langle {{\rho }_{s}}(\theta )\rangle \) and \(\langle {{\rho }_{\mu }}(\theta )\rangle \) of all particles and muons in EASs with the threshold energy \({{E}_{\mu }} \approx 1.0{\kern 1pt} \) secθ GeV were considered obtained at a distance of 600 m from the axis in events with mean … family guy asian woman driver

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WebMar 1, 2014 · Indeed, motivated by the theory of theta correspondence, especially the Siegel-Weil formula globally, and the composition problem of degenerate principal series and the demand of a g.c.d ... WebTEMPERED REPRESENTATIONS AND THE THETA CORRESPONDENCE 1107 containedas a normal subgroupinG0, then for g0 2 G0,weletg0 be the representation of G with the same space as and action (g0 )(g)= (g0 1gg0). A representation of G is pre-unitary if there is a nondegenerateG invariant Hermitian form on the space of . cooking smoked cod in waterWebLOCAL THETA CORRESPONDENCE: THE BASIC THEORY 5 Let Irr(O(p,q)) denote the set of isomorphism classes of irreducible represen-tations (with certain technical conditions) of O(p,q). Similar notations, such as Irr(fSp 2k(R)), will be used. The following result is the Howe duality theorem for the so-called dual pair (O(p,q),Sp cooking smoked haddock fillets in foil

"WebLEARNING SEMINAR ON THETA CORRESPONDENCES GYUJIN OH Started o˛ as a representation-theoretic interpretation of classical invariant theory, theta cor … " - Composition of theta correspondences

Composition of theta correspondences

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WebApr 14, 2024 · In contrast to long-term relationships, far less is known about the temporal evolution of transient relationships, although these constitute a substantial fraction of people’s communication ... Web2. Theta correspondences for (Sp;O) pairs Let Fbe a totally real eld and denote by F v its v-adic completion. For simplicity, we set F= Q. We rst recall the construction of theta correspondences for dual reductive pairs of the form (Sp;O). This was discussed in Lectures 2, 3, and 6. The following is a slightly di erent exposition.

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WebIn He (J. Funct. Anal. 199 (2003) 92), we prove that θ preserves unitarity under certain restrictions, generalizing the result of Li (Invent. Math. 97 (1989) 237). The goal of this … WebA Non-Minimal Theta Correspondence, III Even though 2n+1 is not minimal, one can use it to construct a theta correspondence (BFG, 2006). For any two natural numbers 2k + 1 …

WebSep 3, 2024 · This article has a twofold purpose. First, by recent works of Kaletha and Loke–Ma, we give an explicit description of the local theta correspondence between regular supercuspidal representations in the equal rank symplectic-orthogonal case. Second, based on this description, we show that the local theta correspondence … WebApr 14, 2024 · The excellent microstructure and mechanical properties of Al-Cu alloy deposited using the Direct Energy Deposition (DED) process has been shown in previous studies, which is the most likely aluminum alloy material to meet the load-bearing requirements of hypersonic aircraft. However, its high-temperature performance and the …

WebDec 17, 2024 · Abstract. Let \theta be an elementary theta function, such as the classical Jacobi theta function. We establish a spectral decomposition and surprisingly strong asymptotic formulas for \langle \theta ^2, \varphi \rangle as \varphi traverses a sequence of Hecke-translates of a nice enough fixed function. The subtlety is that typically \theta ... WebOct 23, 2002 · In this paper, we study the compositions of theta correspondences. Under certain favorable conditions, we prove that the composition of theta correspodence …

WebJan 31, 2024 · We study three exceptional theta correspondences for p-adic groups, where one member of the dual pair is the exceptional group G2. We prove the Howe duality conjecture for these dual pairs and a dichotomy theorem, and determine explicitly the theta lifts of all non-cuspidal representations.

WebThe theta correspondence is a subject in the theory of automorphic forms. To begin with, I'll briefly discuss the theory of theta functions, and then move on to the more modern … cooking smoked haddock fillets in the ovenWebIn his article Transcending Classical Invariant Theory (J.A.M.S., 1989, Vol 2), Roger Howe established a correspondence between representations of a dual... family guy asian driver turn signalWebJan 31, 2009 · Download a PDF of the paper titled Compatibility of the Theta correspondence with the Whittaker functors, by Vincent Lafforgue (University Paris 6) and 1 other authors ... where (H,G) is one of the pairs (SO_{2n}, Sp_{2n}), (Sp_{2n}, SO_{2n+2}) or (GL_{n},GL_{n+1}). That is, the composition of the theta-lifting functor … family guy assistir legendadoWebthe scope of the theta correspondence. When the base scheme is SpecF p, this gets us ready for exploring a mod ptheta correspondence. (See x1.4 below.) 1.4. A mod ptheta correspondence for p-adic groups. There would be two approaches to the theta correspondence for F p-representations of p-adic groups. The rst way is to realize the … family guy asian parentsWebThe theta representation is a representation of the continuous Heisenberg group () over the field of the real numbers. In this representation, the group elements act on a particular … cooking smoked haddock in microwaveWebcal theta correspondence over R as a consequence of its algebraic analogue (see [Ho3, Theorem 1 and Theorem 2.1]). Since then, it has been expected that the smooth version coincides with the algebraic version. Our main goal is to prove this coincidence, at least when the dual pair concerned has no quaternionic type Iirreduciblefactor. family guy assistir online 18 legendadoWebDec 2, 2024 · Abstract. We study three exceptional theta correspondences for p -adic groups, where one member of the dual pair is the exceptional group G_2. We prove the Howe duality conjecture for these dual pairs and a dichotomy theorem, and determine explicitly the theta lifts of all non-cuspidal representations. family guy asian sketch