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On structure of homogenenous Wick ideals in Wick *-algebras with braided coefficients

Vasyl Ostrovskyi ; Danil Proskurin ; Yuriy Savchuk ; Lyudmila Turowska (Institutionen för matematiska vetenskaper, matematik)
Reviews in Mathematical Physics (0129-055X). Vol. 24 (2012), 4, p. Art. no.1250007.
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: Deformed commutation relations; Wick *-algebra; unbounded representations


http://arxiv.org/pdf/1102.1149.pdf



Denna post skapades 2011-12-20. Senast ändrad 2015-01-30.
CPL Pubid: 150577

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Algebra och geometri

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