ON THE STRUCTURE OF HOMOGENENOUS WICK IDEALS IN WICK *-ALGEBRAS WITH BRAIDED COEFFICIENTS-Reference-Cited by-同舟云学术

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

Published:2012-05 Issue:04 Volume:24 Page:1250007
ISSN:0129-055X
Container-title:Reviews in Mathematical Physics
language:en
Short-container-title:Rev. Math. Phys.

Author:

OSTROVSKYI VASYL¹,PROSKURIN DANIIL²,SAVCHUK YURII³,TUROWSKA LYUDMILA⁴

Affiliation:

1. Institute of Mathematics, NAS of Ukraine, Tereschenkivska str. 3, Kiev, 01601, Ukraine

2. Cybernetics Department, Kiev Taras Shevchenko University, Volodymyrska str. 64, Kiev, 01033, Ukraine

3. Institute of Mathematics, Leipzig University, Johannisgasse 26, Leipzig, 04103, Germany

4. Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, Gothenburg, SE 412-96, Sweden

Abstract

We study a Wick ideal structure of quadratic *-algebras allowing Wick ordering with braided operator of coefficients. A construction of nested sequence of homogeneous Wick ideals of growing degree is presented. Representations of a Wick analogue of the CCR algebra with two degrees of freedom, annihilating certain homogeneous Wick ideals are described.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129055X12500079

Reference8 articles.

1. Positive Representations of General Commutation Relations Allowing Wick Ordering

2. Homogeneous ideals in Wick *-algebras

3. Completely positive maps on Coxeter groups, deformed commutation relations, and operator spaces

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

5. Twisted second quantization