Fock representations of Q-deformed commutation relations
DOI10.1063/1.4991671zbMath1456.81266arXiv1603.03075OpenAlexW2293582906MaRDI QIDQ5354902
Marek Bożejko, Janusz Wysoczański, Eugene W. Lytvynov
Publication date: 5 September 2017
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.03075
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Formal methods and deformations in algebraic geometry (14D15) Bergman spaces and Fock spaces (30H20) Anyons (81V27)
Related Items (6)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Noncommutative Lévy processes for generalized (particularly anyon) statistics
- Deformations of CCR, their \(^\ast\)-representations, and enveloping \(C^\ast\)-algebras
- Free monotone transport
- A free stochastic partial differential equation
- Gauge-invariant quasi-free states on the algebra of the anyon commutation relations
- Exactness of the Fock space representation of the \(q\)-commutation relations
- Factoriality of Bożejko-Speicher von Neumann algebras
- An example of a generalized Brownian motion
- Meixner class of non-commutative generalized stochastic processes with freely independent values. I: A characterization
- Completely positive maps on Coxeter groups, deformed commutation relations, and operator spaces
- \(q\)-canonical commutation relations and stability of the Cuntz algebra
- \(q\)-Gaussian processes: Non-commutative and classical aspects
- Generalized statistics of macroscopic fields
- Riesz transforms on deformed Fock spaces
- Non-injectivity of the \(q\)-deformed von Neumann algebra
- Fock representations of quantum fields with generalized statistics
- Anyonic realization of the quantum affine Lie algebra \(U_q(\widehat{A}_{N-1})\)
- Positive representations of general commutation relations allowing Wick ordering
- Wick product for commutation relations connected with Yang-Baxter operators and new constructions of factors
- Anyons and quantum groups
- Fock space associated to Coxeter groups of type B
- Factoriality of \(q\)-Gaussian von Neumann algebras
- An application of free transport to mixed 𝑞-Gaussian algebras
- Lectures on the Combinatorics of Free Probability
- Particle statistics from induced representations of a local current group
- Diffeomorphism Groups, Anyon Fields, andqCommutators
- Free Monotone Transport for Infinite Variables
- On the Fock representation of the q-commutation relations
- On the Fock space for nonrelativistic anyon fields and braided tensor products
- The kernel of Fock representations of Wick algebras with braided operator of coefficients.
- Partition-dependent stochastic measures and \(q\)-deformed cumulants
This page was built for publication: Fock representations of Q-deformed commutation relations
