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Mathematics of the USSR-Izvestiya, 1969, Volume 3, Issue 4, Pages 707–722
DOI: https://doi.org/10.1070/IM1969v003n04ABEH000798
(Mi im2180)
 

This article is cited in 32 scientific papers (total in 32 papers)

Groups of automorphisms of infinite-dimensional simple Lie algebras

A. N. Rudakov
References:
Abstract: We explicitly describe the groups of automorphisms of the four canonical series of infinite-dimensional simple topological Lie algebras.
Received: 18.12.1968
Bibliographic databases:
UDC: 519.4
MSC: 20F29, 22E27
Language: English
Original paper language: Russian
Citation: A. N. Rudakov, “Groups of automorphisms of infinite-dimensional simple Lie algebras”, Math. USSR-Izv., 3:4 (1969), 707–722
Citation in format AMSBIB
\Bibitem{Rud69}
\by A.~N.~Rudakov
\paper Groups of automorphisms of infinite-dimensional simple Lie algebras
\jour Math. USSR-Izv.
\yr 1969
\vol 3
\issue 4
\pages 707--722
\mathnet{http://mi.mathnet.ru/eng/im2180}
\crossref{https://doi.org/10.1070/IM1969v003n04ABEH000798}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=252462}
\zmath{https://zbmath.org/?q=an:0222.17014}
Linking options:
  • https://www.mathnet.ru/eng/im2180
  • https://doi.org/10.1070/IM1969v003n04ABEH000798
  • https://www.mathnet.ru/eng/im/v33/i4/p748
  • This publication is cited in the following 32 articles:
    1. Bavula V.V., “The Group of Automorphisms of the Lie Algebra of Derivations of a Field of Rational Functions”, Glasg. Math. J., 59:3, 3 (2017), 513–524  crossref  isi
    2. Gangireddy Lakshmi Devi, Karamsi Jayalakshmi, “Derivation on Vinberg rings”, B Soc Paran Mat, 37:3 (2017), 9  crossref
    3. Seul Hee Choi, Hong Goo Park, Moon-Ok Wang, Ki-Bong Nam, “Combinatorial Algebra and Its Antisymmetrized Algebra I”, Algebra Colloq., 22:spec01 (2015), 823  crossref
    4. S.H.ee Choi, “DERIVATIONS OF A COMBINATORIAL Lie ALGEBRA”, Honam Mathematical Journal, 36:3 (2014), 493  crossref
    5. Seul Hee Choi, Ki-Bong Nam, “Notes on new (antisymmetrized) algebras”, Rocky Mountain J. Math., 42:2 (2012)  crossref
    6. S.H.ee Choi, Ki-Bong Nam, “Automorphism Group of a Special Type Lie Algebra I”, Algebra Colloq, 17:spec01 (2010), 815  crossref
    7. Seul Hee Choi, Ki-Bong Nam, “Grade Stable Lie Algebras I”, Rocky Mountain J. Math., 40:3 (2010)  crossref
    8. Hong Goo Park, Jeongsig Lee, Seul Hee Choi, XueQing Chen, Ki-Bong Nam, “Automorphism groups of some algebras”, Sci China Ser A, 2009  crossref  isi
    9. Seul-Hee Choi, “NEW ALGEBRAS USING ADDITIVE ABELIAN GROUPS I”, Honam Mathematical Journal, 31:3 (2009), 407  crossref
    10. Jongwoo Lee, S.H.ee Choi, Ki-Bong Nam, “Non-associative Algebras with n-Exponential Functions”, Algebra Colloq, 16:01 (2009), 85  crossref
    11. Seul-Hee Choi, “NOTES ON A NON-ASSOCIATIVE ALGEBRAS WITH EXPONENTIAL FUNCTIONS III”, Communications of the Korean Mathematical Society, 23:2 (2008), 153  crossref
    12. Seul Hee Choi, Jongwoo Lee, Ki-Bong Nam, “Derivations of a Restricted Weyl-Type Algebra Containing the Polynomial Ring”, Communications in Algebra, 36:9 (2008), 3435  crossref
    13. Seul-Hee Choi, “AN ALGEBRA WITH RIGHT IDENTITIES AND ITS ANTISYMMETRIZED ALGEBRA”, Honam Mathematical Journal, 30:2 (2008), 273  crossref
    14. Seul-Hee Choi, “NOTES ON A NON-ASSOCIATIVE ALGEBRA WITH EXPONENTIAL FUNCTIONS II”, Bulletin of the Korean Mathematical Society, 44:2 (2007), 241  crossref  isi
    15. Ki-Bong Nam, “Generalized SType Lie Algebras”, Rocky Mountain J. Math., 37:4 (2007)  crossref
    16. Seul Hee Choi, Ki-Bong Nam, “Derivations of a Restricted Weyl Type Algebra I”, Rocky Mountain J. Math., 37:6 (2007)  crossref
    17. “AUTOMORPHISMS OF A Weyl-TYPE ALGEBRA I”, Communications of the Korean Mathematical Society, 21:1 (2006), 45  crossref
    18. “DERIVATIONS OF A RESTRICTED Weyl TYPE ALGEBRA ON A Laurent EXTENSION”, Communications of the Korean Mathematical Society, 21:2 (2006), 227  crossref
    19. Nicoletta Cantarini, Victor G. Kac, “Infinite-dimensional primitive linearly compact Lie superalgebras”, Advances in Mathematics, 207:1 (2006), 328  crossref
    20. NICOLETTA CANTARINI, VICTOR G. KAC, “AUTOMORPHISMS AND FORMS OF SIMPLE INFINITE-DIMENSIONAL LINEARLY COMPACT Lie SUPERALGEBRAS”, Int. J. Geom. Methods Mod. Phys, 03:05n06 (2006), 845  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:534
    Russian version PDF:168
    English version PDF:31
    References:68
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