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

Palle E.T Jørgensen; Daniil P Proskurin; Yuriǐ S Samoǐlenko

doi:10.2140/pjm.2001.198.109

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

Journal article

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

Palle E.T Jørgensen, Daniil P Proskurin and Yuriǐ S Samoǐlenko

Pacific journal of mathematics, Vol.198(1), pp.109-122

2001

DOI: 10.2140/pjm.2001.198.109

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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.

Details

Title: Subtitle: The kernel of Fock representations of Wick algebras with braided operator of coefficients
Creators: Palle E.T Jørgensen
Daniil P Proskurin
Yuriǐ S Samoǐlenko
Resource Type: Journal article
Publication Details: Pacific journal of mathematics, Vol.198(1), pp.109-122
DOI: 10.2140/pjm.2001.198.109
ISSN: 0030-8730
eISSN: 1945-5844
Language: English
Date published: 2001
Academic Unit: Mathematics
Record Identifier: 9983985946902771

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