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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Book Information:

Author: A. A. Mikhalev Y. A. Bahturin, V. M. Petrogradsky
Title: Infinite dimensional Lie superalgebras
Additional book information: de Gruyter Expositions in Mathematics, vol. 7, Walter de Gruyter, Berlin and New York, 1992, 250 pp., US$89.00. ISBN 3-11-012974-4.

References [Enhancements On Off] (What's this?)

  • [1] A.Z. Anan'in, Locally finitely approximable and locally representable varieties of algebras, Algebra and Logic 16 (1978), 1-16. MR 0505968 (58:21895)
  • [2] V.G. Kac, Lie superalgebras, Adv. Math. 26 (1977), 8-96. MR 0486011 (58:5803)
  • [3] A.I. Mal'cev, On representations of infinite dimensional algebras, Mat. Sb. 13 (1943), 263-285.
  • [4] V. Rittenberg and D. Wyler, Sequences of $ {\mathbb{Z}_2} \oplus {\mathbb{Z}_2}$ graded Lie algebras and superalgebras, J. Math. Phys. 19 (1978), 2193-2200. MR 507516 (82f:17002)
  • [5] -, Generalized superalgebras, Nuclear Phys. B 139 (1978), 189-202. MR 0491859 (58:11050)
  • [6] M. Scheunert, The theory of Lie superalgebras. An introduction, Lecture Notes in Math., vol. 716, Springer-Verlag, New York, Heidelberg, and Berlin, 1979. MR 537441 (80i:17005)
  • [7] M. A. Vasil'ev, deSitter supergravity with positive cosmological constant and generalized Lie superalgebras, Classical Quantum Gravity 2 (1985), 645-659. MR 810475 (87c:83100)

Review Information:

Reviewer: Eric Behr
Journal: Bull. Amer. Math. Soc. 31 (1994), 91-93
DOI: https://doi.org/10.1090/S0273-0979-1994-00482-3
American Mathematical Society