Palle E. T. Jorgensen, Daniil P. Proskurin, Yurii S. Samoilenko
The kernel of Fock representations of Wick algebras with braided operator of coefficients
(81K, LaTeX2e pjm class, AMS packages; 14 pages)

ABSTRACT.  It is shown that the kernel of 
the 
Fock representation of 
a certain 
Wick algebra 
with braided operator of coefficients $T$, $||T\,||\le 1$, coincides 
with the largest quadratic Wick ideal. Improved conditions on the 
operator $T$ for the Fock inner product to be strictly positive 
are given.