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

Authors
Jorgensen, PET Proskurin, DP Samoilenko, YS
Citation
Pet. Jorgensen et al., The kernel of Fock representations of Wick algebras with braided operator of coefficients, PAC J MATH, 198(1), 2001, pp. 109-122
Citations number
11
Categorie Soggetti
Mathematics
Journal title
PACIFIC JOURNAL OF MATHEMATICS
ISSN journal
00308730 → ACNP
Volume
198
Issue
1
Year of publication
2001
Pages
109 - 122
Database
ISI
SICI code
0030-8730(200103)198:1<109:TKOFRO>2.0.ZU;2-8
Abstract
It is shown that the kernel of the Fock representation of a certain Wick al gebra with braided operator of coefficients T, \\T\\ less than or equal to 1, coincides with the largest quadratic Wick ideal. Improved conditions on the operator T for the Fock inner product to be strictly positive are given .