메뉴 건너뛰기




Volumn 93, Issue 6, 1999, Pages 836-876

Cohomologies and deformations of right-symmetric algebras

(1)  Dzhumadil'daev, A a  

a NONE

Author keywords

[No Author keywords available]

Indexed keywords


EID: 53149106614     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/BF02366344     Document Type: Article
Times cited : (70)

References (32)
  • 1
    • 0001295985 scopus 로고
    • Poisson brackets of hydrodynamical type, Frobenius algebras and Lie algebras
    • A. A. Balinskii and S. P. Novikov, "Poisson brackets of hydrodynamical type, Frobenius algebras and Lie algebras," Dokl. Akad. Nauk SSSR, 283, No. 5, 1036-1039 (1985);
    • (1985) Dokl. Akad. Nauk SSSR , vol.283 , Issue.5 , pp. 1036-1039
    • Balinskii, A.A.1    Novikov, S.P.2
  • 2
    • 0000313947 scopus 로고
    • English translation
    • English translation: Sov. Math. Dokl., 32, No. 1, 228-231 (1985).
    • (1985) Sov. Math. Dokl. , vol.32 , Issue.1 , pp. 228-231
  • 4
    • 0000826353 scopus 로고
    • Left-symmetric structures on simple modular Lie algebras
    • D. Burde, "Left-symmetric structures on simple modular Lie algebras," J. Algebra, 169, 112-138 (1994).
    • (1994) J. Algebra , vol.169 , pp. 112-138
    • Burde, D.1
  • 5
    • 0030147091 scopus 로고    scopus 로고
    • Left-invariant affine structures on reductive groups
    • D. Burde, "Left-invariant affine structures on reductive groups," J. Algebra, 181, 884-902 (1996).
    • (1996) J. Algebra , vol.181 , pp. 884-902
    • Burde, D.1
  • 7
    • 0002077148 scopus 로고
    • Central extensions of infinite-dimensional Lie algebras
    • A. S. Dzhumadil'daev, "Central extensions of infinite-dimensional Lie algebras," Funkts. Anal. Prilozhen., 26, No. 4, 21-29 (1992);
    • (1992) Funkts. Anal. Prilozhen. , vol.26 , Issue.4 , pp. 21-29
    • Dzhumadil'daev, A.S.1
  • 8
    • 0002077148 scopus 로고
    • English translation
    • English translation: Funct. Anal. Appl., 26, 247-253 (1992).
    • (1992) Funct. Anal. Appl. , vol.26 , pp. 247-253
  • 9
    • 0346371494 scopus 로고
    • On cohomology of modular Lie algebras
    • A. S. Dzhumadil'daev, "On cohomology of modular Lie algebras," Mat. Sb., 119, No. 181, 132-149 (1982);
    • (1982) Mat. Sb. , vol.119 , Issue.181 , pp. 132-149
    • Dzhumadil'daev, A.S.1
  • 10
    • 3242725366 scopus 로고
    • English translation
    • English translation: Math. USSR-Sbornik, 47, No. 1, 127-143 (1984).
    • (1984) Math. USSR-Sbornik , vol.47 , Issue.1 , pp. 127-143
  • 11
    • 18544377752 scopus 로고
    • Cohomology and nonsplit extensions of modular Lie algebras
    • A. S. Dzhumadil'daev, "Cohomology and nonsplit extensions of modular Lie algebras," Contemp. Math., 131, Part 2, 31-43 (1992).
    • (1992) Contemp. Math. , vol.131 , Issue.2 PART , pp. 31-43
    • Dzhumadil'daev, A.S.1
  • 13
    • 53149086534 scopus 로고    scopus 로고
    • English translation
    • English translation: Math. USSR-Sbornik, 527-554.
    • Math. USSR-Sbornik , pp. 527-554
  • 14
    • 4544342162 scopus 로고
    • A remark on a space of invariant differential operators
    • A. S. Dzhumadil'daev, "A remark on a space of invariant differential operators," Vestn. Mosk. Univ., Ser. Mat., 37, No. 2, 49-54 (1982);
    • (1982) Vestn. Mosk. Univ., Ser. Mat. , vol.37 , Issue.2 , pp. 49-54
    • Dzhumadil'daev, A.S.1
  • 15
    • 4544329654 scopus 로고
    • English translation
    • English translation: Moscow Univ. Math. Bull., 37, No. 2, 63-68 (1982).
    • (1982) Moscow Univ. Math. Bull. , vol.37 , Issue.2 , pp. 63-68
  • 17
    • 0000891627 scopus 로고
    • The cohomology of the Lie algebra of the vector fields in a circle
    • I. M. Gelfand and D. B. Fuks, "The cohomology of the Lie algebra of the vector fields in a circle," Funkts. Anal. Prilozhen., 2, No. 4, 92-93 (1968);
    • (1968) Funkts. Anal. Prilozhen. , vol.2 , Issue.4 , pp. 92-93
    • Gelfand, I.M.1    Fuks, D.B.2
  • 18
    • 0000891624 scopus 로고
    • English translation
    • English translation: Funct. Anal. Appl., 2, 342-343 (1968).
    • (1968) Funct. Anal. Appl. , vol.2 , pp. 342-343
  • 19
    • 25844439585 scopus 로고
    • Hamiltonian operators and algebraic structures related to them
    • I. M. Gelfand and I. Ya. Dorfman, "Hamiltonian operators and algebraic structures related to them," Funct. Anal. Appl., 13, 248-262 (1979).
    • (1979) Funct. Anal. Appl. , vol.13 , pp. 248-262
    • Gelfand, I.M.1    Dorfman, I.Ya.2
  • 20
    • 0002442975 scopus 로고
    • On the deformations of rings and algebras
    • M. Gerstenhaber, "On the deformations of rings and algebras," Ann. Math., 79, 59-103 (1964).
    • (1964) Ann. Math. , vol.79 , pp. 59-103
    • Gerstenhaber, M.1
  • 21
    • 0001523110 scopus 로고
    • The cohomology structure of an associative ring
    • M. Gerstenhaber, "The cohomology structure of an associative ring," Ann. Math., 78, No. 2, 267-288 (1963).
    • (1963) Ann. Math. , vol.78 , Issue.2 , pp. 267-288
    • Gerstenhaber, M.1
  • 22
    • 0001363446 scopus 로고
    • Cohomology of Lie algebras
    • G. P. Hochshild and J.-P. Serre, "Cohomology of Lie algebras," Ann. Math., 57, No. 3, 591-603 (1953).
    • (1953) Ann. Math. , vol.57 , Issue.3 , pp. 591-603
    • Hochshild, G.P.1    Serre, J.-P.2
  • 23
    • 0031513736 scopus 로고    scopus 로고
    • n-graded differential calculus
    • n-graded differential calculus," Czech. J. Phys., 47, No. 1, 33-40 (1997).
    • (1997) Czech. J. Phys. , vol.47 , Issue.1 , pp. 33-40
    • Kerner, R.1
  • 24
    • 84972560383 scopus 로고
    • Complete left-invariant affine structures on nilpotent Lie groups
    • H. Kim, "Complete left-invariant affine structures on nilpotent Lie groups," J. Diff. Geom., 24, 373-394 (1986).
    • (1986) J. Diff. Geom. , vol.24 , pp. 373-394
    • Kim, H.1
  • 25
    • 0001757153 scopus 로고
    • Domaines bornés homogènes et orbites de groupes de transformations affines
    • J. L. Koszul, "Domaines bornés homogènes et orbites de groupes de transformations affines," Bull. Soc. Math. France, 89, No. 4, 515-533 (1961).
    • (1961) Bull. Soc. Math. France , vol.89 , Issue.4 , pp. 515-533
    • Koszul, J.L.1
  • 26
    • 0010134579 scopus 로고
    • Universal enveloping algebras of Leibniz algebras and (co)homology
    • J.-L. Loday and T. Pirashvili, "Universal enveloping algebras of Leibniz algebras and (co)homology," Math. Ann., 296, 139-158 (1993).
    • (1993) Math. Ann. , vol.296 , pp. 139-158
    • Loday, J.-L.1    Pirashvili, T.2
  • 28
    • 0001715566 scopus 로고
    • Simple Novikov algebras with an idempotent
    • J. M. Osborn, "Simple Novikov algebras with an idempotent," Comm. Algebra, 20, No. 9, 2729-2753 (1992).
    • (1992) Comm. Algebra , vol.20 , Issue.9 , pp. 2729-2753
    • Osborn, J.M.1
  • 29
    • 0000266803 scopus 로고
    • Infinite-dimensional Novikov algebras of characteristic 0
    • J. M. Osborn, "Infinite-dimensional Novikov algebras of characteristic 0," J. Algebra, 167, 146-167 (1994).
    • (1994) J. Algebra , vol.167 , pp. 146-167
    • Osborn, J.M.1
  • 30
    • 0001345472 scopus 로고
    • On Leibniz homology
    • T. P. Pirashvili, "On Leibniz homology," Ann. Inst. Fourier, 44, No. 2, 401-411 (1994).
    • (1994) Ann. Inst. Fourier , vol.44 , Issue.2 , pp. 401-411
    • Pirashvili, T.P.1
  • 31
    • 0030240981 scopus 로고    scopus 로고
    • Translative isomorphisms and left-symmetric structures on W(m, n)
    • G.-Y. Shen, "Translative isomorphisms and left-symmetric structures on W(m, n)," J. Algebra, 184, 575-583 (1996).
    • (1996) J. Algebra , vol.184 , pp. 575-583
    • Shen, G.-Y.1
  • 32


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.