Theta lifting of nilpotent orbits for symmetric pairs

DOI10.1090/S0002-9947-05-03826-2zbMath1091.22002arXivmath/0312453MaRDI QIDQ3373729

Chen-Bo Zhu, Kyo Nishiyama, Hiroyuki Ochiai

Publication date: 8 March 2006

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

Full work available at URL: https://arxiv.org/abs/math/0312453

Mathematics Subject Classification ID

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

Related Items

Projective cases for the restriction of the oscillator representation to dual pairs of type I ⋮ Resolution of null fiber and conormal bundles on the Lagrangian Grassmannian ⋮ Theta correspondence and the orbit method ⋮ Asymptotic cone of semisimple orbits for symmetric pairs ⋮ On the evaluation of some Selberg-like integrals ⋮ Theta lifting of unitary lowest weight modules and their associated cycles ⋮ Invariants and -spectrums of local theta lifts ⋮ Dual pairs and Kostant-Sekiguchi correspondence. II: Classification of nilpotent elements ⋮ Local theta lifting of generalized Whittaker models associated to nilpotent orbits

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