Period integrals in noncompact quotients of SU(p,1)

DOI10.1215/S0012-7094-85-05234-2zbMath0582.10018MaRDI QIDQ1068880

S. P. Wang, Yue Lin L. Tong

Publication date: 1985

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

theta functioncohomology of arithmetic groupscodimension r cyclesgeometric interpretationslifting of Hermitian modular forms of degree rprimitive harmonic cusp form on

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Theta series; Weil representation; theta correspondences (11F27) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

Related Items (8)

The theta correspondence and harmonic forms. I ⋮ Correspondence of modular forms to cycles associated to \(Sp(p,q)\) ⋮ The theta correspondence and harmonic forms. II ⋮ Intersection numbers of cycles on locally symmetric spaces and Fourier coefficients of holomorphic modular forms in several complex variables ⋮ Unnamed Item ⋮ Certain Rankin-Selberg integral for unitary groups ⋮ Geometric realization of discrete series for semisimple symmetric spaces ⋮ Construction of Cohomology of Discrete Groups

Cites Work

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• Correspondence of Hermitian modular forms to cycles associated to \(\mathrm{SU}(p,2)\)
• \(L\)-functions and the oscillator representation
• Harmonic differentials and closed geodesics on a Riemann surface
• Intersection homology theory
• Harmonic forms dual to geodesic cycles in quotients of SU(p,1)
• Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus
• On modular forms associated with indefinite quadratic forms of signature \((2,n-2)\)
• Shimura and Shintani correspondences
• Theta functions defined by geodesic cycles in quotients of SU(p,1)
• L//2 cohomology of warped products and arithmetic groups
• On vector bundle valued harmonic forms and automorphic forms on symmetric Riemannian manifolds
• Compactification of arithmetic quotients of bounded symmetric domains
• Automorphic forms on semisimple Lie groups. Notes by J. G. M. Mars.
• Function theory of finite order on algebraic varieties. I(A)
• On a Relation Between ~ SL   2   Cusp Forms and Cusp Forms on Tube Domains Associated to Orthogonal Groups
• Stable and 𝐿²-cohomology of arithmetic groups
• On construction of holomorphic cusp forms of half integral weight
• The Parabolic Contribution to the Number of Linearly Independent Automorphic Forms on a Certain Bounded Domain

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