Invariant distributions of classical groups

DOI10.1215/S0012-7094-92-06504-5zbMath0764.22009MaRDI QIDQ1188204

Chen-Bo Zhu

Publication date: 13 August 1992

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

zbMATH Keywords

multiplicitysymplectic formirreducible representationsoscillator representationmaximal compact subgroupdual pairstandard representation\(G\)-invariant tempered distributions

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items

Unnamed Item, Degenerate principal series representations for \(U(n,n)\), Degenerate principal series and local theta correspondence. II, Representations with scalar \(K\)-types and applications, Transfers of \(K\)-types on local theta lifts of characters and unitary lowest weight modules, Degenerate principal series and local theta correspondence, Degenerate principal series and local theta correspondence. III: The case of complex groups, Degenerate principal series representations for quaternionic unitary groups, Theta lifting of unitary lowest weight modules and their associated cycles, Howe quotients of unitary characters and unitary lowest weight modules, Howe correspondence for real unitary groups, Classification and partial ordering of reductive Howe dual pairs of classical Lie groups, On the quantization of spherical nilpotent orbits

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