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Volumn 127, Issue 5, 2003, Pages 439-465

Universal representations of Lie algebras by coderivations

Author keywords

Coderivation; Lie superalgebra; Poincar Birkhoff Witt theorem

Indexed keywords


EID: 0038375721     PISSN: 00074497     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0007-4497(03)00041-1     Document Type: Article
Times cited : (9)

References (15)
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  • 3
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    • Eléments de mathématiques, groupes et algèbres de Lie, chapitres 2 et 3
    • Hermann
    • Bourbaki N. Eléments de mathématiques, groupes et algèbres de Lie, chapitres 2 et 3 1972 Hermann
    • (1972)
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  • 5
    • 0038452480 scopus 로고
    • A remark on the Birkhoff-Witt theorem
    • Cohn P.M. A remark on the Birkhoff-Witt theorem J. London Math. Soc. 38 1963 197-203
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    • Cohn, P.M.1
  • 7
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    • Série de Hausdorff d'une algèbre de Lie et projections canoniques dans l'algèbre enveloppante
    • Helmstetter J. Série de Hausdorff d'une algèbre de Lie et projections canoniques dans l'algèbre enveloppante J. Algebra 120 1989 170-199
    • (1989) J. Algebra , vol.120 , pp. 170-199
    • Helmstetter, J.1
  • 8
    • 84951367352 scopus 로고
    • Introduction to the theory of supermanifold
    • Leites D.A. Introduction to the theory of supermanifold Russian Math. Surveys 35 1 1980 1-64
    • (1980) Russian Math. Surveys , vol.35 , Issue.1 , pp. 1-64
    • Leites, D.A.1
  • 9
    • 0038790143 scopus 로고    scopus 로고
    • Functional equations and Lie algebras
    • Tesi di Dottorato, Università di Roma "La Sapienza"
    • Petracci, E. Functional equations and Lie algebras, Tesi di Dottorato, Università di Roma "La Sapienza", 2003
    • (2003)
    • Petracci, E.1
  • 10
    • 0001531057 scopus 로고
    • Rational homotopy theory
    • Quillen D. Rational homotopy theory Ann. Math. 90 1969 205-295
    • (1969) Ann. Math. , vol.90 , pp. 205-295
    • Quillen, D.1
  • 11
    • 38249041650 scopus 로고
    • Divided power structures on Hopf algebras and embedding Lie algebras into special-derivation algebras
    • Radford D. Divided power structures on Hopf algebras and embedding Lie algebras into special-derivation algebras J. Algebra 98 1 1986 143-170
    • (1986) J. Algebra , vol.98 , Issue.1 , pp. 143-170
    • Radford, D.1
  • 12
    • 84858968150 scopus 로고
    • Associative hyper-envelopes of Lie algebras, their regular representation and ideals
    • Rasevskii P.K. Associative hyper-envelopes of Lie algebras, their regular representation and ideals Trans. Moscow Math. Soc. 15 1966 1-60
    • (1966) Trans. Moscow Math. Soc. , vol.15 , pp. 1-60
    • Rasevskii, P.K.1
  • 13
    • 0008992658 scopus 로고
    • On the representation of Lie rings in associative rings
    • Sirsov A.I. On the representation of Lie rings in associative rings Uspekhi Mat. Nauk 8 5 1953 173-175
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  • 14
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    • On the Poincaré-Birkhoff-Witt theorem
    • Solomon L. On the Poincaré-Birkhoff-Witt theorem J. Combin. Theory 4 1968 363-375
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  • 15
    • 0038790138 scopus 로고    scopus 로고
    • Poincaré's proof of the so-called Birkhoff-Witt theorem
    • Tuong T.-T. Tran T.-D. Poincaré's proof of the so-called Birkhoff-Witt theorem Rev. Hist. Math. 5 2 1999 249-284
    • (1999) Rev. Hist. Math. , vol.5 , Issue.2 , pp. 249-284
    • Tuong, T.-T.1    Tran, T.-D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.