Analytic vectors, anomalies and star representations

DOI10.1007/BF00402326zbMath0692.22012MaRDI QIDQ583399

Carlos Alcalde, Daniel Sternheimer

Publication date: 1989

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Heisenberg algebraquantizationsquare integrable functionsanalytic vectorsanomalous representationsfield-theoretical modelslocal representations of Lie algebrasphase- space

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Geometry and quantization, symplectic methods (81S10) General mathematical topics and methods in quantum theory (81Q99) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15)

Related Items (3)

The Bohm-Aharonov effect: A seven-dimensional structural group ⋮ Star quantization on the cylinder ⋮ \(C^*\)-algebraic quantization and the origin of topological quantum effects

Cites Work

• Kac-Moody current algebras of \(D=2\) massless gauge theories, their representations and applications
• Deformation theory and quantization. I: Deformations of symplectic structures
• Poincaré partially integrable local representations and mass-spectrum
• Anomalies in conservation laws in the Hamiltonian formalism
• A remark concerning canonical commutation relations
• All Possible Symmetries of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>Matrix
• Note on Continuous Representations of Lie Groups

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