The kernel of Fock representations of Wick algebras with braided operator of coefficients.

DOI10.2140/PJM.2001.198.109zbMath1054.46520arXivmath-ph/0001011OpenAlexW1963651422MaRDI QIDQ5943432

Palle E. T. Jorgensen, Daniil P. Proskurin, Yurii S. Samoilenko

Publication date: 24 September 2001

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0001011

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of operator theory in the physical sciences (47N50) Applications of selfadjoint operator algebras to physics (46L60) Applications of functional analysis in quantum physics (46N50) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (13)

ON THE STRUCTURE OF HOMOGENENOUS WICK IDEALS IN WICK *-ALGEBRAS WITH BRAIDED COEFFICIENTS ⋮ On q-tensor products of Cuntz algebras ⋮ The Generalized CCR: Representations and Enveloping C*-Algebra ⋮ Symmetry in tensor algebras over Hilbert space ⋮ CCR and CAR algebras are connected via a path of Cuntz-Toeplitz algebras ⋮ Fock representations of Q-deformed commutation relations ⋮ Modular structure and inclusions of twisted Araki-Woods algebras ⋮ On \(\ast\)-representations of \(\lambda\)-deformations of canonical commutation relations ⋮ Fock representations of multicomponent (particularly non-Abelian anyon) commutation relations ⋮ Deformations of CCR, their \(^\ast\)-representations, and enveloping \(C^\ast\)-algebras ⋮ Two-sided ideals in \(q\)-deformed Heisenberg algebras. ⋮ REPRESENTATIONS OF LIE ALGEBRAS BUILT OVER HILBERT SPACE ⋮ Wavelet representations and Fock space on positive matrices

This page was built for publication: The kernel of Fock representations of Wick algebras with braided operator of coefficients.