Geometric realization of discrete series for semisimple symmetric spaces

DOI10.1007/BF01393969zbMath0685.22008MaRDI QIDQ1825976

S. P. Wang, Yue Lin L. Tong

Publication date: 1989

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143684

zbMATH Keywords

generating functioncohomology classvector bundlereal semisimple Lie grouplocally symmetric spacediscrete series representationsharmonic formmaximal compact subgroupprincipal fiber bundleminimal K-type

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Semisimple Lie groups and their representations (22E46) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Differential geometry of symmetric spaces (53C35)

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Cites Work

• Hyperfunctions and harmonic analysis on symmetric spaces
• Period integrals in noncompact quotients of SU(p,1)
• The theta correspondence and harmonic forms. I
• Correspondence of modular forms to cycles associated to O(p,q)
• Discrete series for semisimple symmetric spaces
• Representations of real reductive Lie groups
• The orbits of affine symmetric spaces under the action of minimal parabolic subgroups
• Discrete spectrum of the reductive dual pair \((\mathrm{O}(p,q),\mathrm{Sp}(2m))\)
• On vector bundle valued harmonic forms and automorphic forms on symmetric Riemannian manifolds
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