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Volumn 111, Issue 1, 1978, Pages 61-110

Deformation theory and quantization. I. Deformations of symplectic structures

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EID: 33744769996     PISSN: 00034916     EISSN: 1096035X     Source Type: Journal    
DOI: 10.1016/0003-4916(78)90224-5     Document Type: Article
Times cited : (1342)

References (34)
  • 16
    • 84916325898 scopus 로고    scopus 로고
    • A. Lichnerowicz, Les Variétés de Poisson et leurs Algèbres de Lie associées, J. Differential Geometry, to appear.
  • 25
    • 84916365642 scopus 로고    scopus 로고
    • ∗-products for semisimple algebras that have been calculated so far, K turned out to be a multiple of the Killing form.
  • 27
    • 0001487798 scopus 로고
    • −1 gives the Weyl quantization rule. Other bijections, defined with different vector space bases of U(A), correspond to different orderings [3] (standard, normal, etc.). This is one of the motivations for the restriction made from the next subsection onward to projections defined by characters of the center of the Poisson Lie algebra P.
    • (1972) Bull. Soc. Math. France , vol.100 , pp. 301
    • Vergne1
  • 28
    • 84916348129 scopus 로고    scopus 로고
    • ∗-products that are not regular; they are related to finite-dimensional representations of the algebra and are of interest on compact symplectic manifolds.
  • 29
    • 25144519453 scopus 로고
    • Hermann, Paris, Chap. II, Sect. 1, No. 13, 3rd ed., 1962 or new edition
    • (1970) Algèbre
    • Bourbaki1
  • 30
    • 84916369216 scopus 로고    scopus 로고
    • n.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.