Lifts of symplectic diffeomorphisms as automorphisms of a weyl algebra bundle with fedosov connection

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Abstract

In the present paper, we are concerned with lifts of symplectic diffeomorphisms as automorphisms of star product. We also study a regular Lie group structure (cf. [14, 20, 21]) of the group of automorphisms of star product on a symplectic manifold.

Original languageEnglish
Pages (from-to)533-546
Number of pages14
JournalInternational Journal of Geometric Methods in Modern Physics
Volume4
Issue number4
DOIs
Publication statusPublished - 2007 Jun

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automorphisms
bundles
algebra
stars
products

Keywords

  • Characteristic form
  • Infinite-dimensional Lie group

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

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title = "Lifts of symplectic diffeomorphisms as automorphisms of a weyl algebra bundle with fedosov connection",
abstract = "In the present paper, we are concerned with lifts of symplectic diffeomorphisms as automorphisms of star product. We also study a regular Lie group structure (cf. [14, 20, 21]) of the group of automorphisms of star product on a symplectic manifold.",
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author = "Naoya Miyazaki",
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