Degenerate principal series and local theta correspondence

DOI10.1090/S0002-9947-98-02036-4zbMath0901.22008MaRDI QIDQ4365528

Soo Teck Lee, Chen-Bo Zhu

Publication date: 15 April 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://www.ams.org/tran/1998-350-12/S0002-9947-98-02036-4/home.html

zbMATH Keywords

degenerate principal seriestheta correspondence\(K\)-typeHowe quotient

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Theta series; Weil representation; theta correspondences (11F27)

Related Items (21)

Unnamed Item ⋮ Degenerate principal series representations for \(U(n,n)\) ⋮ Degenerate principal series and local theta correspondence. II ⋮ Bessel models for real unitary groups: the tempered case ⋮ On \((\chi , b)\)-factors of cuspidal automorphic representations of unitary groups. I. ⋮ Representations with scalar \(K\)-types and applications ⋮ Theta lifting of holomorphic discrete series: The case of $ U(n, n) \times U(p, q) $ ⋮ The regularized Siegel-Weil formula (the second term identity) and the Rallis inner product formula ⋮ Green forms and the arithmetic Siegel-Weil formula ⋮ 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 ⋮ Regular functions of symplectic spherical nilpotent orbits and their quantizations ⋮ On the Siegel–Weil formula: The case of singular forms ⋮ On the Siegel-Weil formula for unitary groups ⋮ Transfer of Siegel cusp forms of degree 2 ⋮ Principal series of Hermitian Lie groups induced from Heisenberg parabolic subgroups ⋮ On the quantization of spherical nilpotent orbits ⋮ Conservation relations for local theta correspondence ⋮ One-dimensional representations of \({U(p,q)}\) and the Howe correspondence

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