On Wick algebras with braid relations
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Publication:4873312
DOI10.1063/1.531067zbMath0883.46047OpenAlexW2119748562MaRDI QIDQ4873312
Władysław Marcinek, Robert Rałowski
Publication date: 23 February 1998
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.531067
Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Applications of functional analysis in quantum physics (46N50) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Rings of differential operators (associative algebraic aspects) (16S32)
Related Items (6)
The Generalized CCR: Representations and Enveloping C*-Algebra ⋮ Deformations of CCR, their \(^\ast\)-representations, and enveloping \(C^\ast\)-algebras ⋮ Nonabelian statistics for Calogero-Sutherland systems of particles. ⋮ On communication relations for quons ⋮ Particles in singular magnetic field ⋮ Particles and quantum symmetries
Cites Work
- Multiparameter associative generalizations of canonical commutation relations and quantized planes
- Twisted second quantization
- Differential calculi on quantum vector spaces with Hecke-type relations
- Quantum group-symmetric Fock spaces with Bargmann-Fock representation
- Algebras based on Yang-Baxter operators
- Completely positive maps on Coxeter groups, deformed commutation relations, and operator spaces
- On braid statistics and noncommutative calculus
- On unital braidings and quantization
- Multiparameter deformations of GL(N) and Jordan–Schwinger constructions
- Generalized deformed oscillator and nonlinear algebras
- Noncommutative geometry for arbitrary braidings
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