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Volumn 132, Issue 2, 1997, Pages 316-333

Space of second-order linear differential operators as a module over the lie algebra of vector fields

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EID: 0031586649     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1006/aima.1997.1683     Document Type: Article
Times cited : (37)

References (16)
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  • 3
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    • Duval, C.1    Elhadad, J.2    Tuynman, G.M.3
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    • Homology of the Lie algebra of vector fields on the line
    • 4. B. L. Feigin and D. B. Fuks, Homology of the Lie algebra of vector fields on the line, Fund. Anal. Appl. 14 (1980), 201-212.
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    • Feigin, B.L.1    Fuks, D.B.2
  • 6
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    • Infinite dimensional Lie groups: Their orbits, invariants and representations
    • Springer-Verlag, New York/Berlin
    • 6. A. A. Kirillov, Infinite dimensional Lie groups: Their orbits, invariants and representations, in "The Geometry of Moments," Lecture Notes in Math., Vol. 970, Springer-Verlag, New York/Berlin, 1982.
    • (1982) "The Geometry of Moments," Lecture Notes in Math. , vol.970
    • Kirillov, A.A.1
  • 7
    • 0000097613 scopus 로고
    • Geometric quantization
    • Springer-Verlag, New York/Berlin
    • 7. A. A. Kirillov, "Geometric Quantization," Encyclopedia of Math. Science, Vol. 4, Springer-Verlag, New York/Berlin, 1990.
    • (1990) Encyclopedia of Math. Science , vol.4
    • Kirillov, A.A.1
  • 8
    • 85030023075 scopus 로고
    • Invariant differential operators over geometric quantities
    • VINITI, [in Russian]
    • 8. A. A. Kirillov, "Invariant Differential Operators over Geometric Quantities," Modern Problems in Mathematics, Vol. 16, VINITI, 1980. [in Russian]
    • (1980) Modern Problems in Mathematics , vol.16
    • Kirillov, A.A.1
  • 9
    • 0002535842 scopus 로고
    • Quantization and unitary representations
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    • 9. B. Kostant, "Quantization and Unitary Representations," Lecture Notes in Math., Vol. 170, Springer-Verlag, New York/Berlin, 1970.
    • (1970) Lecture Notes in Math. , vol.170
    • Kostant, B.1
  • 10
    • 0000665863 scopus 로고
    • Symplectic spinors
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    • 10. B. Kostant, "Symplectic Spinors," Symposia Math., Vol. 14, Academic Press, London, 1974.
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  • 11
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    • Lie derivative of order n on a line: Tensor meaning of the Gelfand-Dickey bracket
    • 11. O. D. Ovsienko and V. Yu. Ovsienko, "Lie Derivative of Order n on a Line: Tensor Meaning of the Gelfand-Dickey Bracket," Advances in Soviet Math., Vol. 2, 1991.
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  • 12
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    • A nonunitary pairing of polarizations for the Kepler problem
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  • 13
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    • Irreducible representations of infinite-dimensional lie algebras of Cartan type
    • 13. A. N. Rudakov, Irreducible representations of infinite-dimensional Lie algebras of Cartan type, Math. USSR Izv. 8 (1974), 836-866.
    • (1974) Math. USSR Izv. , vol.8 , pp. 836-866
    • Rudakov, A.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.