The metaplectic semigroup and related topics

DOI10.1016/0034-4877(85)90046-1zbMath0609.22015OpenAlexW1964568041MaRDI QIDQ1086687

B. George

Publication date: 1985

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(85)90046-1

zbMATH Keywords

symplectic groupcommutation relationsintegral operatorsSchwartz spaceprojective representationsrepresentation semigroupcanonical semigroupmetaplectic semigroup

Mathematics Subject Classification ID

Analysis on topological semigroups (22A20) 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) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Projective representations and multipliers (20C25)

Related Items

Holomorphic representation theory. II ⋮ Holomorphic representation theory. I ⋮ A note on Howe's oscillator semigroup ⋮ Quantization of Gaussians ⋮ Random Walk on Quantum Blobs

Cites Work

• Semigroups of length increasing transformations
• The metaplectic representation, Weyl operators and spectral theory
• Complex extension of the representation of the symplectic group associated with the canonical commutation relations
• Covering semigroups
• On a Hilbert space of analytic functions and an associated integral transform part I
• On a Hilbert Space of Analytie Functions and an Associated Integral Transform. Part II. A Family of Related Function Spaces Application to Distribution Theory
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