On structure of homogenenous Wick ideals in Wick *-algebras with braided coefficients
Review article, 2012
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.
unbounded representations
Wick *-algebra
Deformed commutation relations
Author
Vasyl Ostrovskyi
National Academy of Sciences in Ukraine
D. Proskurin
Taras Shevchenko National University of Kyiv
Yuriy Savchuk
Leipzig University
Lyudmyla Turowska
Chalmers, Mathematical Sciences, Mathematics
University of Gothenburg
Reviews in Mathematical Physics
0129-055X (ISSN) 17936659 (eISSN)
Vol. 24 4 Art. no.1250007- 1250007Subject Categories
Mathematics
Roots
Basic sciences
DOI
10.1142/S0129055X12500079