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Volumn 48, Issue 2, 1998, Pages 425-440

Lie-Rinehart algebras, Gerstenhaber algebras and Batalin-Vilkovisky algebras

Author keywords

Abstract left and right connections; BV algebras; Cohomological duality for Lie Rinehart algebras; Gerstenhaber; Lie Rinehart; Poisson structures

Indexed keywords


EID: 0032397110     PISSN: 03730956     EISSN: None     Source Type: Journal    
DOI: 10.5802/aif.1624     Document Type: Article
Times cited : (108)

References (18)
  • 1
    • 30244485015 scopus 로고
    • Quantization of gauge theories with linearly dependent generators
    • I.A. BATALIN and G.S. VILKOVISKY, Quantization of gauge theories with linearly dependent generators, Phys. Rev., D 28 (1983), 2567-2582.
    • (1983) Phys. Rev., D , vol.28 , pp. 2567-2582
    • Batalin, I.A.1    Vilkovisky, G.S.2
  • 2
    • 25044461431 scopus 로고
    • Closure of the gauge algebra, generalized Lie equations and Feynman rules
    • I.A. BATALIN and G.S. VILKOVISKY, Closure of the gauge algebra, generalized Lie equations and Feynman rules, Nucl. Phys. B, 234 (1984), 106-124.
    • (1984) Nucl. Phys. B , vol.234 , pp. 106-124
    • Batalin, I.A.1    Vilkovisky, G.S.2
  • 3
  • 5
    • 0001523110 scopus 로고
    • The cohomology structure of an associative ring
    • M. GERSTENHABER, The cohomology structure of an associative ring, Ann. of Math., 78 (1963), 267-288.
    • (1963) Ann. of Math. , vol.78 , pp. 267-288
    • Gerstenhaber, M.1
  • 6
    • 0002568626 scopus 로고
    • Algebras, bialgebras, quantum groups and algebraic deformations
    • Deformation theory and quantum groups with applications to mathematical physics, M. Gerstenhaber and J. Stasheff, eds. AMS, Providence
    • M. GERSTENHABER and Samuel D. SCHACK, Algebras, bialgebras, quantum groups and algebraic deformations, In: Deformation theory and quantum groups with applications to mathematical physics, M. Gerstenhaber and J. Stasheff, eds. Cont. Math., AMS, Providence, 134 (1992), 51-92.
    • (1992) Cont. Math. , vol.134 , pp. 51-92
    • Gerstenhaber, M.1    Schack, S.D.2
  • 7
    • 21344494005 scopus 로고
    • Batalin-Vilkovisky algebras and two-dimensional topological field theories
    • E. GETZLER, Batalin-Vilkovisky algebras and two-dimensional topological field theories, Comm. in Math. Phys., 195 (1994), 265-285.
    • (1994) Comm. in Math. Phys. , vol.195 , pp. 265-285
    • Getzler, E.1
  • 8
    • 84910217417 scopus 로고
    • Relative homological algebra
    • G. HOCHSCHILD, Relative homological algebra, Trans. Amer. Math. Soc., 82 (1956), 246-269.
    • (1956) Trans. Amer. Math. Soc. , vol.82 , pp. 246-269
    • Hochschild, G.1
  • 12
    • 0001133433 scopus 로고
    • Exact Gerstenhaber algebras and Lie bialgebroids
    • Y. KOSMANN-SCHWARZBACH, Exact Gerstenhaber algebras and Lie bialgebroids, Acta Applicandae Mathematicae, 41 (1995), 153-165.
    • (1995) Acta Applicandae Mathematicae , vol.41 , pp. 153-165
    • Kosmann-Schwarzbach, Y.1
  • 13
    • 0001052135 scopus 로고
    • Crochet de Schouten-Nijenhuiset cohomologie
    • E. Cartan et les Lyon, 25-29 Juin, 1984, Astérisque, hors-série
    • J.-L. KOSZUL, Crochet de Schouten-Nijenhuiset cohomologie, in E. Cartan et les Mathématiciens d'aujourd'hui, Lyon, 25-29 Juin, 1984, Astérisque, hors-série, (1985) 251-271.
    • (1985) Mathématiciens d'Aujourd'hui , pp. 251-271
    • Koszul, J.-L.1
  • 14
    • 0001328830 scopus 로고
    • New perspectives on the BRST-algebraic structure of string theory
    • B.H. LIAN and G.J. ZUCKERMAN, New perspectives on the BRST-algebraic structure of string theory, Comm. in Math. Phys., 154 (1993), 613-646.
    • (1993) Comm. in Math. Phys. , vol.154 , pp. 613-646
    • Lian, B.H.1    Zuckerman, G.J.2
  • 15
    • 84968483649 scopus 로고
    • Differential forms for general commutative algebras
    • G. RINEHART, Differential forms for general commutative algebras, Trans. Amer. Math. Soc., 108 (1963), 195-222.
    • (1963) Trans. Amer. Math. Soc. , vol.108 , pp. 195-222
    • Rinehart, G.1
  • 16
    • 0038201535 scopus 로고    scopus 로고
    • Deformation theory and the Batalin-Vilkovisky master equation
    • Deformation Theory and Symplectic Geometry, Proceedings of the Ascona meeting, June 1996, D. Sternheimer, J. Rawnsley, S. Gutt, eds., Kluwer Academic Publishers, Dordrecht-Boston-London
    • J.D. STASHEFF, Deformation theory and the Batalin-Vilkovisky master equation, in: Deformation Theory and Symplectic Geometry, Proceedings of the Ascona meeting, June 1996, D. Sternheimer, J. Rawnsley, S. Gutt, eds., Mathematical Physics Studies, Vol. 20 Kluwer Academic Publishers, Dordrecht-Boston-London, 1997, 271-284.
    • (1997) Mathematical Physics Studies , vol.20 , pp. 271-284
    • Stasheff, J.D.1
  • 17
    • 85033880530 scopus 로고    scopus 로고
    • The modular automorphism group of a Poisson manifold
    • special volume in honor of A. Lichnerowicz
    • A. WEINSTEIN, The modular automorphism group of a Poisson manifold, to appear in: special volume in honor of A. Lichnerowicz, J. of Geometry and Physics.
    • J. of Geometry and Physics
    • Weinstein, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.