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

Palle E. T. Jorgensen, Daniil P. Proskurin, Yurii S. Samoilenko

math-pharXiv:math-ph/0001011

Abstract

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.

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