Theta lifting of holomorphic discrete series: The case of $ U(n, n) \times U(p, q) $

DOI10.1090/S0002-9947-01-02830-6zbMath0978.22015OpenAlexW1864486955MaRDI QIDQ2716141

Kyo Nishiyama, Chen-Bo Zhu

Publication date: 6 June 2001

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-01-02830-6

zbMATH Keywords

nilpotent orbitsreductive dual pairholomorphic discrete seriestheta liftingassociated cycles

Mathematics Subject Classification ID

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

Related Items

The wave front set correspondence for dual pairs with one member compact ⋮ Theta lifting of unitary lowest weight modules and their associated cycles ⋮ Howe quotients of unitary characters and unitary lowest weight modules ⋮ Theta lifting of nilpotent orbits for symmetric pairs ⋮ On the quantization of spherical nilpotent orbits

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