ON THE STRUCTURE OF HOMOGENENOUS WICK IDEALS IN WICK *-ALGEBRAS WITH BRAIDED COEFFICIENTS

DOI10.1142/S0129055X12500079zbMath1255.46035arXiv1102.1149OpenAlexW3104692899MaRDI QIDQ2894041

Lyudmyla Turowska, Yurii Savchuk, Daniil P. Proskurin, Vasyl L. Ostrovskyĭ

Publication date: 27 June 2012

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.1149

zbMATH Keywords

deformed commutation relationsunbounded representationsWick \(\ast \)-algebra

Mathematics Subject Classification ID

Commutation relations and statistics as related to quantum mechanics (general) (81S05) Representation theory of linear operators (47A67) Quantizations, deformations for selfadjoint operator algebras (46L65)

Cites Work

• Unnamed Item
• Twisted second quantization
• On communication relations for quons
• Completely positive maps on Coxeter groups, deformed commutation relations, and operator spaces
• Positive representations of general commutation relations allowing Wick ordering
• Homogeneous ideals in Wick *-algebras
• The kernel of Fock representations of Wick algebras with braided operator of coefficients.

This page was built for publication: ON THE STRUCTURE OF HOMOGENENOUS WICK IDEALS IN WICK *-ALGEBRAS WITH BRAIDED COEFFICIENTS