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Volumn 44, Issue 4, 1998, Pages 331-338

A Remark on Nonequivalent Star Products via Reduction for ℂℙn

Author keywords

Deformation quantization; Nonequivalent star products; Phase space reduction

Indexed keywords


EID: 0000026036     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007415208707     Document Type: Article
Times cited : (7)

References (17)
  • 3
    • 33744769996 scopus 로고    scopus 로고
    • Bayen, F., Flato, M., Frønsdal, C., Lichnerowicz, A. and Sternheimer, D.: Deformation theory and quantization, Ann. Phys. 111 (I) (1978), 61-110, part II: 111-151.
    • Ann. Phys. , Issue.2 PART , pp. 111-151
  • 7
    • 0000158209 scopus 로고    scopus 로고
    • A Fedosov star product of the Wick type for Kähler manifolds
    • Bordemann, M. and Waldmann, S.: A Fedosov star product of the Wick type for Kähler manifolds, Lett. Math. Phys. 41 (1997), 243-253.
    • (1997) Lett. Math. Phys. , vol.41 , pp. 243-253
    • Bordemann, M.1    Waldmann, S.2
  • 8
    • 0000898844 scopus 로고
    • Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds
    • De Wilde, M. and Lecomte, P. B. A.: Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds, Lett. Math. Phys. 7 (1983), 487-496.
    • (1983) Lett. Math. Phys. , vol.7 , pp. 487-496
    • De Wilde, M.1    Lecomte, P.B.A.2
  • 9
    • 84972506966 scopus 로고
    • A Simple geometrical construction of deformation quantization
    • Fedosov, B.: A Simple geometrical construction of deformation quantization, J. Differential Geom. 40 (1994), 213-238.
    • (1994) J. Differential Geom. , vol.40 , pp. 213-238
    • Fedosov, B.1
  • 12
    • 0002456318 scopus 로고
    • Algebraic cohomology and deformation theory
    • M. Hazewinkel and M. Gerstenhaber (eds), Kluwer Acad. Publ., Dordrecht
    • Gerstenhaber, M. and Schack, S.: Algebraic cohomology and deformation theory, in: M. Hazewinkel and M. Gerstenhaber (eds), Deformation Theory of Algebras and Structures and Applications, Kluwer Acad. Publ., Dordrecht, 1988.
    • (1988) Deformation Theory of Algebras and Structures and Applications
    • Gerstenhaber, M.1    Schack, S.2
  • 14
    • 21844495985 scopus 로고
    • Algebraic index theorem
    • Nest, R. and Tsygan, B.: Algebraic index theorem, Comm. Math. Phys. 172 (1995), 223-262.
    • (1995) Comm. Math. Phys. , vol.172 , pp. 223-262
    • Nest, R.1    Tsygan, B.2
  • 15
    • 0001454198 scopus 로고
    • Weyl manifolds and deformation quantization
    • Omori, H., Maeda, Y. and Yoshioka, A.: Weyl manifolds and deformation quantization, Adv. Math. 85 (1991), 224-255.
    • (1991) Adv. Math. , vol.85 , pp. 224-255
    • Omori, H.1    Maeda, Y.2    Yoshioka, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.