The moment map on symplectic vector space and oscillator representation

DOI10.1215/21562261-2017-0006zbMath1373.22023arXiv1408.6597OpenAlexW1809057697MaRDI QIDQ2403965

Takashi Hashimoto

Publication date: 12 September 2017

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.6597

zbMATH Keywords

canonical quantizationmoment maposcillator representationHowe dualitysymplectic vector space

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Geometry and quantization, symplectic methods (81S10) Simple, semisimple, reductive (super)algebras (17B20)

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(𝔤,K)-module of O(p,q) associated with the finite-dimensional representation of 𝔰𝔩2

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