On the quantization of spherical nilpotent orbits

DOI10.1090/S0002-9947-2013-05925-9zbMath1283.22010MaRDI QIDQ2855938

Liang Yang

Publication date: 23 October 2013

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

zbMATH Keywords

quantizationorbit methodtheta correspondencespherical nilpotent orbitorbit method spherical nilpotent orbit

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) General properties and structure of real Lie groups (22E15)

Related Items (2)

Invariants and -spectrums of local theta lifts ⋮ Regular functions of symplectic spherical nilpotent orbits and their quantizations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Singular unitary representations of classical groups
• Degenerate principal series and invariant distributions
• On a class of multiplicity-free nilpotent \(K_{\mathbb C}\)-orbits
• Invariant distributions of classical groups
• On the Segal-Shale-Weil representations and harmonic polynomials
• Characters, dual pairs, and unitary representations
• Characteristic cycles and wave front cycles of representations of reductive Lie groups
• Theta lifting of unitary lowest weight modules and their associated cycles
• Lie algebra cohomology and the generalized Borel-Weil theorem
• Theta lifting of holomorphic discrete series: The case of $ U(n, n) \times U(p, q) $
• Eigendistributions for orthogonal groups and representations of symplectic groups
• Transcending Classical Invariant Theory
• Unipotent representations attached to spherical nilpotent orbits
• Degenerate principal series and local theta correspondence

This page was built for publication: On the quantization of spherical nilpotent orbits