Classical and quantum Heisenberg groups, their representations and applications

DOI10.1007/BF00047124zbMath0857.22007MaRDI QIDQ1815385

Walter Johannes Schempp, A. U. Klimyk

Publication date: 11 March 1997

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

operatorsrepresentationsintertwining operatorsFock representationcoherent statesHeisenberg groupslinear groups\(q\)-deformed Heisenberg algebra\(q\)-oscillator algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Nilpotent and solvable Lie groups (22E25)

Related Items (4)

Two-sided ideals in \(q\)-deformed Heisenberg algebras. ⋮ Automorphisms of the Heisenberg–Weyl algebra and d-orthogonal polynomials ⋮ Q-positive definiteness and related operators ⋮ q-Oscillator Algebra And d-Orthogonal Polynomials

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