Star product and contact Weyl manifold

Yoshioka, Akira (2015) Star product and contact Weyl manifold. Il nuovo cimento C, 38 (5). pp. 1-12. ISSN 1826-9885

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Abstract

Contact algebra is introduced, which is a Lie algebra given as a one-dimesional exrention of a Weyl algebra. A contact Lie algebra bundle called a contact Weyl manifold is considered over a symplectic manifold which contains a Weyl manifold as a subbundle. A relationship is discussed between deformation quantization on s symplectic manifold and a Weyl manifold over the symplectic manifold. The contact Weyl manifold has a canonical connection which gives rise the relation, and is regarded as an extension of Fedosov connection.

Item Type: Article
Subjects: 500 Scienze naturali e Matematica > 530 Fisica
Depositing User: Marina Spanti
Date Deposited: 23 Jun 2020 09:08
Last Modified: 23 Jun 2020 09:08
URI: http://eprints.bice.rm.cnr.it/id/eprint/19162

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