Twisted canonical anticommutation relations

DOI10.1016/0034-4877(89)90017-7zbMath0752.17035OpenAlexW2083051385MaRDI QIDQ1178364

Wiesław Pusz

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1016/0034-4877(89)90017-7

zbMATH Keywords

irreducible representationsFermi statisticscompact matrix pseudogroupanticommutation relations

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Applications of Lie (super)algebras to physics, etc. (17B81) Applications of functional analysis in quantum physics (46N50) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items

DRINFEL'D TWIST AND q-DEFORMING MAPS FOR LIE GROUP COVARIANT HEISENBERG ALGEBRAE ⋮ Notes on quantum groups and quantum de Rham complexes ⋮ Deforming maps for Lie group covariant creation and annihilation operators ⋮ THE FIVE INDEPENDENCES AS QUASI-UNIVERSAL PRODUCTS ⋮ Representations of canonical anticommutation relations with orthogonality condition ⋮ Jacobson generators, Fock representations and statistics of sl(n+1) ⋮ The q-deformation of quantum mechanics of one degree of freedom ⋮ SU3 coherent state operators and invariant correlation functions and their quantum group counterparts ⋮ Unbounded induced representations of \(\ast \)-algebras ⋮ Twisted second quantization ⋮ An algebra for ordered particles ⋮ On the implementation of \(S_{\mu{}}U(2)\) action in the irreducible representations of twisted canonical commutation relations ⋮ \(R\)-commutative geometry and quantization of Poisson algebras ⋮ Hochschild Homology in a Braided Tensor Category ⋮ Fock space representation of differential calculus on the noncommutative quantum space ⋮ MONOTONIC INDEPENDENCE ON THE WEAKLY MONOTONE FOCK SPACE AND RELATED POISSON TYPE THEOREM ⋮ Representations of the deformed oscillator algebra for different choices of generators

Cites Work

• Some remarks on Koszul algebras and quantum groups
• Twisted second quantization
• Compact matrix pseudogroups
• Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU(N) groups
• Differential calculus on compact matrix pseudogroups (quantum groups)
• On non-compact groups I. Classification of non-compact real simple Lie groups and groups containing the Lorentz group
• Unnamed Item