Quantization of the action of \(U(k,n)\) on \(R^{2(k+n)}\)

DOI10.1016/0022-1236(83)90067-8zbMath0517.58013OpenAlexW2009561819MaRDI QIDQ1053323

Robert J. Blattner, John H. Rawnsley

Publication date: 1983

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(83)90067-8

zbMATH Keywords

polarizationladder representationmetaplectic representationsmetaunitary representation

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Geometric quantization (53D50)

Related Items (8)

QUANTIZATION METHODS: A GUIDE FOR PHYSICISTS AND ANALYSTS ⋮ An \(L^ 2\)-cohomology construction of negative spin mass zero equations for U(p,q) ⋮ Unitary Structures on Cohomology ⋮ Generalized twistors and geometric quantization ⋮ A Cohomological Pairing of Half-Forms ⋮ Singular unitary representations and indefinite harmonic theory ⋮ Representations of the Infinite Unitary Group from Constrained Quantization ⋮ An integral transform in \(L^ 2\)-cohomology for the ladder representations of U(p,q)

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