The kernel of Fock representations of Wick algebras with braided   operator of coefficients
  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. 
Palle E. T. Jorgensen, Daniil P. Proskurin and Yurii S. Samoilenko