메뉴 건너뛰기




Volumn 49, Issue 6, 1999, Pages 1999-2029

Conformally equivariant quantization: Existence and uniqueness

Author keywords

Casimir operators; Conformal structures; Modules of differential operators; Quantization; Star products; Tensor densities

Indexed keywords


EID: 0033264284     PISSN: 03730956     EISSN: None     Source Type: Journal    
DOI: 10.5802/aif.1744     Document Type: Article
Times cited : (72)

References (28)
  • 2
    • 84927988871 scopus 로고
    • Quantization
    • F. A. BEREZIN, Quantization, Math. USSR Izvestija, 8-5 (1974), 1109-1165.
    • (1974) Math. USSR Izvestija , vol.8 , Issue.5 , pp. 1109-1165
    • Berezin, F.A.1
  • 3
    • 84927987695 scopus 로고
    • Quantization in complex symmetric spaces
    • F. A. BEREZIN, Quantization in complex symmetric spaces, Math. USSR Izvestija, 9-2 (1976), 341-379.
    • (1976) Math. USSR Izvestija , vol.9 , Issue.2 , pp. 341-379
    • Berezin, F.A.1
  • 4
    • 0004058055 scopus 로고
    • Springer-Verlag, Berlin-Heidelberg
    • A. L. BESSE, Einstein Manifolds, Springer-Verlag, Berlin-Heidelberg, 1987.
    • (1987) Einstein Manifolds
    • Besse, A.L.1
  • 6
    • 0002919831 scopus 로고    scopus 로고
    • Automorphic pseudodifferential operators, Algebraic aspects of integrable systems, 17-47
    • Birkhäuser Boston, Boston, MA
    • P. COHEN, YU. MANIN and D. ZAGIER, Automorphic pseudodifferential operators, Algebraic aspects of integrable systems, 17-47, Progr. Nonlinear Differential Equations Appl., 26, Birkhäuser Boston, Boston, MA, 1997.
    • (1997) Progr. Nonlinear Differential Equations Appl. , vol.26
    • Cohen, P.1    Manin, Y.U.2    Zagier, D.3
  • 7
    • 0000734746 scopus 로고
    • Formal deformation of the Poisson Lie algebra of a symplectic manifold and star-products
    • Kluver Acad. Pub., Dordrecht, and references therein
    • M. De WILDE and P. B. A. LECOMTE, Formal deformation of the Poisson Lie algebra of a symplectic manifold and star-products, in Deformation Theory of Algebras and Structures And Applications, Kluver Acad. Pub., Dordrecht, 1988, and references therein.
    • (1988) Deformation Theory of Algebras and Structures And Applications
    • De Wilde, M.1    Lecomte, P.B.A.2
  • 8
    • 0031586649 scopus 로고    scopus 로고
    • Space of second order linear differential operators as a module over the Lie algebra of vector fields
    • C. DUVAL and V. OVSIENKO, Space of second order linear differential operators as a module over the Lie algebra of vector fields, Advances in Math., 132-2 (1997), 316-333.
    • (1997) Advances in Math. , vol.132 , Issue.2 , pp. 316-333
    • Duval, C.1    Ovsienko, V.2
  • 12
    • 0001579660 scopus 로고    scopus 로고
    • Space of linear differential operators on the real line as a module over the Lie algebra of vector fields
    • H. GARGOUBI and V. OVSIENKO, Space of linear differential operators on the real line as a module over the Lie algebra of vector fields, Int. Res. Math. Notes, 1996, No. 5, 235-251.
    • (1996) Int. Res. Math. Notes , Issue.5 , pp. 235-251
    • Gargoubi, H.1    Ovsienko, V.2
  • 15
    • 0038943251 scopus 로고
    • Geometric quantization, in encyclopedia of
    • Springer-Verlag
    • A. A. KIRILLOV, Geometric Quantization, in Encyclopedia of Math. Sci., Vol. 4, Springer-Verlag, 1990.
    • (1990) Math. Sci. , vol.4
    • Kirillov, A.A.1
  • 17
    • 0002535842 scopus 로고
    • Quantization and unitary representations
    • Springer-Verlag
    • B. KOSTANT, Quantization and Unitary Representations, in Lecture Notes in Math., Springer-Verlag, Vol. 170, 1970.
    • (1970) Lecture Notes in Math. , vol.170
    • Kostant, B.1
  • 18
    • 0000665863 scopus 로고
    • Symplectic spinors
    • London, Acad. Press
    • B. KOSTANT, Symplectic Spinors, in Symposia Math., Vol. 14, London, Acad. Press, 1974.
    • (1974) Symposia Math. , vol.14
    • Kostant, B.1
  • 20
    • 0033074527 scopus 로고    scopus 로고
    • Classification projective des espaces d'opérateurs différentiels agissant sur les densités
    • Ser. 1
    • P. B. A. LECOMTE, Classification projective des espaces d'opérateurs différentiels agissant sur les densités, C.R.A.S., 328, Ser. 1 (1999).
    • (1999) C.R.A.S. , vol.328
    • Lecomte, P.B.A.1
  • 21
    • 0030524407 scopus 로고    scopus 로고
    • Comparison of some modules of the Lie algebra of vector fields
    • P. B. A. LECOMTE, P. MATHONET and E. TOUSSET, Comparison of some modules of the Lie algebra of vector fields, Indag. Math., N.S., 7-4 (1996), 461-471.
    • (1996) Indag. Math., N.S. , vol.7 , Issue.4 , pp. 461-471
    • Lecomte, P.B.A.1    Mathonet, P.2    Tousset, E.3
  • 23
    • 0038943246 scopus 로고    scopus 로고
    • Intertwining operators between some spaces of differential operators on a manifold
    • to appear
    • P. MATHONET, Intertwining operators between some spaces of differential operators on a manifold, Comm. in Algebra (1999), to appear.
    • (1999) Comm. in Algebra
    • Mathonet, P.1
  • 25
    • 21844518385 scopus 로고
    • A class of graded Lie algebras of vector fields and first order differential operators
    • G. POST, A class of graded Lie algebras of vector fields and first order differential operators, J. Math. Phys., 35-12 (1994), 6838-6856.
    • (1994) J. Math. Phys. , vol.35 , Issue.12 , pp. 6838-6856
    • Post, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.