RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Subscription
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Izv. Akad. Nauk SSSR Ser. Mat., 1984, Volume 48, Issue 3, Pages 585–598 (Mi izv1457)  

This article is cited in 34 scientific papers (total in 34 papers)

Automorphisms of simple Lie superalgebras

V. V. Serganova


Abstract: This paper gives an enumeration of the outer automorphisms of simple finite-dimensional complex Lie superalgebras, the nonisomorphic infinite-dimensional Lie superalgebras associated with these automorphisms, and the systems of simple roots in contragredient Lie superalgebras (finite-dimensional and associated with a finite-dimensional simple Lie superalgebra and automorphisms of this Lie superalgebra).
Bibliography: 6 titles.

Full text: PDF file (1252 kB)
References: PDF file   HTML file

English version:
Mathematics of the USSR-Izvestiya, 1985, 24:3, 539–551

Bibliographic databases:

UDC: 519.4
MSC: 17B20, 17B40, 17B70
Received: 10.06.1982

Citation: V. V. Serganova, “Automorphisms of simple Lie superalgebras”, Izv. Akad. Nauk SSSR Ser. Mat., 48:3 (1984), 585–598; Math. USSR-Izv., 24:3 (1985), 539–551

Citation in format AMSBIB
\Bibitem{Ser84}
\by V.~V.~Serganova
\paper Automorphisms of simple Lie superalgebras
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1984
\vol 48
\issue 3
\pages 585--598
\mathnet{http://mi.mathnet.ru/izv1457}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=747252}
\zmath{https://zbmath.org/?q=an:0565.17001}
\transl
\jour Math. USSR-Izv.
\yr 1985
\vol 24
\issue 3
\pages 539--551
\crossref{https://doi.org/10.1070/IM1985v024n03ABEH001250}


Linking options:
  • http://mi.mathnet.ru/eng/izv1457
  • http://mi.mathnet.ru/eng/izv/v48/i3/p585

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. V. Serganova, “Automorphisms of the Lie superalgebras of string theory”, Funct. Anal. Appl., 19:3 (1985), 226–228  mathnet  crossref  mathscinet  zmath  isi
    2. V. A. Andreev, “Odd bases of Lie superalgebras and integrable equations”, Theoret. and Math. Phys., 72:1 (1987), 758–764  mathnet  crossref  mathscinet  zmath  isi
    3. Johan W. Van De Leur, “A classification of contragredient Lie superalgebras of finite growth”, Communications in Algebra, 17:8 (1989), 1815  crossref
    4. I. Tsohantjis, J. F. Cornwell, “Sugawara-type constructions of the Virasoro algebra based on the twisted affine Kac–Moody superalgebras”, J Math Phys (N Y ), 32:5 (1991), 1121  crossref  mathscinet  zmath  adsnasa
    5. Jonathan Evans, Timothy Hollowood, “Integrable N = 2 supersymmetric field theories”, Physics Letters B, 293:1-2 (1992), 100  crossref
    6. Jonathan M. Evans, Jens Ole Madsen, “Dynkin diagrams and integrable models based on Lie superalgebras”, Nuclear Physics B, 503:3 (1997), 715  crossref
    7. K C Pati, D Parashar, J Phys A Math Gen, 31:2 (1998), 767  crossref  mathscinet  zmath  adsnasa
    8. T. D. Palev, N. I. Stoilova, “Highest weight irreducible representations of the Lie superalgebra gl(1∣∞)”, J Math Phys (N Y ), 40:3 (1999), 1574  crossref  mathscinet  zmath  adsnasa
    9. K C Pati, D Parashar, J Phys A Math Gen, 33:13 (2000), 2569  crossref  mathscinet  zmath  adsnasa
    10. J. Math. Sci. (N. Y.), 141:4 (2007), 1390–1398  mathnet  crossref  mathscinet  zmath  elib
    11. C.A.S. Young, “Flat currents, gradings and coset space actions”, Physics Letters B, 632:4 (2006), 559  crossref
    12. David Kagan, Charles A.S. Young, “Conformal sigma models on supercoset targets”, Nuclear Physics B, 745:3 (2006), 109  crossref
    13. Niklas Beisert, Fabian Spill, “The Classical r-Matrix of AdS/CFT and its Lie Bialgebra Structure”, Comm Math Phys, 2008  crossref  mathscinet  isi
    14. A. V. Lebedev, D. A. Leites, “Shapovalov determinant for loop superalgebras”, Theoret. and Math. Phys., 156:3 (2008), 1292–1307  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    15. M. Gorelik, V. V. Serganova, “On representations of the affine superalgebra $\mathbb q(n)^{(2)}$”, Mosc. Math. J., 8:1 (2008), 91–109  mathnet  mathscinet  zmath
    16. Dimitar Grantcharov, Arturo Pianzola, “Automorphisms of toroidal Lie superalgebras”, Journal of Algebra, 319:10 (2008), 4230  crossref
    17. Gleb Arutyunov, Sergey Frolov, “Foundations of the AdS<sub>5</sub> × S<sup>5</sup> superstring: I”, J Phys A Math Theor, 42:25 (2009), 254003  crossref  isi
    18. Sofiane Bouarroudj, Pavel Grozman, Dimitry Leites, “Classification of Finite Dimensional Modular Lie Superalgebras with Indecomposable Cartan Matrix”, SIGMA, 5 (2009), 060, 63 pp.  mathnet  crossref  mathscinet
    19. Thomas Creutzig, “Geometry of branes on supergroups”, Nuclear Physics B, 812:3 (2009), 301  crossref
    20. Alessandro Torrielli, “Review of AdS/CFT Integrability. Chapter VI.2: Yangian Algebra”, Lett Math Phys, 2011  crossref
    21. Nicoletta Cantarini, Victor G. Kac, “Classification of linearly compact simple algebraic N = 6 3-algebras”, Transformation Groups, 2011  crossref
    22. Niklas Beisert, “The classical trigonometricr-matrix for the quantum-deformed Hubbard chain”, J. Phys. A: Math. Theor, 44:26 (2011), 265202  crossref
    23. Alessandro Torrielli, “Yangians,S-matrices and AdS/CFT”, J. Phys. A: Math. Theor, 44:26 (2011), 263001  crossref
    24. Amit Dekel, Yaron Oz, “Integrability of Green-Schwarz sigma models with boundaries”, J. High Energ. Phys, 2011:8 (2011)  crossref
    25. Meng-Kiat Chuah, “Finite order automorphisms on contragredient Lie superalgebras”, Journal of Algebra, 2011  crossref
    26. Ben Hoare, Timothy J. Hollowood, J. Luis Miramontes, “A relativistic relative of the magnon S-matrix”, J. High Energ. Phys, 2011:11 (2011)  crossref
    27. Alessandro Torrielli, “The Hopf superalgebra of AdS/CFT”, Journal of Geometry and Physics, 61:1 (2011), 230  crossref
    28. CRISTINA DRAPER, ALBERTO ELDUQUE, CÁNDIDO MARTÍN GONZÁLEZ, “FINE GRADINGS ON EXCEPTIONAL SIMPLE Lie SUPERALGEBRAS”, Int. J. Math, 22:12 (2011), 1823  crossref
    29. Maria Gorelik, Victor G. Kac, Pierluigi Möseneder Frajria, Paolo Papi, “Denominator identities for finite-dimensional Lie superalgebras and Howe duality for compact dual pairs”, Jpn. J. Math, 7:1 (2012), 41  crossref
    30. Marius de Leeuw, Takuya Matsumoto, Sanefumi Moriyama, Vidas Regelskis, Alessandro Torrielli, “Secret symmetries in AdS/CFT”, Phys. Scr, 86:2 (2012), 028502  crossref
    31. FABIAN SPILL, “YANGIANS IN INTEGRABLE FIELD THEORIES, SPIN CHAINS AND GAUGE-STRING DUALITIES”, Rev. Math. Phys, 24:01 (2012), 1230001  crossref
    32. Dimitar Grantcharov, Milen Yakimov, “Cominuscule parabolic subalgebras of simple finite dimensional Lie superalgebras”, Journal of Pure and Applied Algebra, 2013  crossref
    33. Nicoletta Cantarini, V.G.. Kac, “Algebraic vs physical N = 6 3-algebras”, J. Math. Phys, 55:1 (2014), 011704  crossref
    34. Andrea Altomani, Andrea Santi, “Classification of maximal transitive prolongations of super-Poincaré algebras”, Advances in Mathematics, 265 (2014), 60  crossref
  • Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Number of views:
    This page:644
    Full text:199
    References:40
    First page:1

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019