It is shown that the kernel of the Fock representation of a certain Wick
algebra with braided operator of coefficients T, || T ||<= 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.
@article{0001011,
author = {Jorgensen, Palle E. T. and Proskurin, Daniil P. and Samoilenko, Yurii S.},
title = {The kernel of Fock representations of Wick algebras with braided
operator of coefficients},
journal = {arXiv},
volume = {2000},
number = {0},
year = {2000},
language = {en},
url = {http://dml.mathdoc.fr/item/0001011}
}
Jorgensen, Palle E. T.; Proskurin, Daniil P.; Samoilenko, Yurii S. The kernel of Fock representations of Wick algebras with braided
operator of coefficients. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0001011/