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Bulletin of the American Mathematical Society

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

Book Review

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Full text of review: PDF
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 i Logika 16 (1977), no. 1, 3–23, 123 (Russian). MR 0505968
  • [2] V. G. Kac, Lie superalgebras, Advances in Math. 26 (1977), no. 1, 8–96. MR 0486011
  • [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 𝑍₂⊕𝑍₂ graded Lie algebras and superalgebras, J. Math. Phys. 19 (1978), no. 10, 2193–2200. MR 507516, 10.1063/1.523552
  • [5] V. Rittenberg and D. Wyler, Generalized superalgebras, Nuclear Phys. B 139 (1978), no. 3, 189–202. MR 0491859
  • [6] Manfred Scheunert, The theory of Lie superalgebras, Lecture Notes in Mathematics, vol. 716, Springer, Berlin, 1979. An introduction. MR 537441
  • [7] M. A. Vasiliev, de Sitter supergravity with positive cosmological constant and generalised Lie superalgebras, Classical Quantum Gravity 2 (1985), no. 5, 645–659. MR 810475

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