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math.QA2000
A family of *-algebras allowing Wick ordering: Fock representations and universal enveloping -algebras
Palle E. T. Jorgensen, Daniil P. Proskurin, Yurii Samoilenko
We consider an abstract Wick ordering as a family of relations on elements a_i and define *-algebras by these relations. The relations are given by a fixed operator T:h\otimes h --…
math-ph2000
The kernel of Fock representations of Wick algebras with braided operator of coefficients
Palle E. T. Jorgensen, Daniil P. Proskurin, Yurii S. Samoilenko
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 ide…