Book Review
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MathSciNet review:
1568124
Full text of 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.
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
V. G. Kac, Lie superalgebras, Advances in Math. 26 (1977), no. 1, 8–96. MR 486011, DOI 10.1016/0001-8708(77)90017-2
[3] A.I. Mal'cev, On representations of infinite dimensional algebras, Mat. Sb. 13 (1943), 263-285.
V. Rittenberg and D. Wyler, Sequences of $Z_{2}\oplus Z_{2}$ graded Lie algebras and superalgebras, J. Math. Phys. 19 (1978), no. 10, 2193–2200. MR 507516, DOI 10.1063/1.523552
V. Rittenberg and D. Wyler, Generalized superalgebras, Nuclear Phys. B 139 (1978), no. 3, 189–202. MR 491859, DOI 10.1016/0550-3213(78)90186-4
Manfred Scheunert, The theory of Lie superalgebras, Lecture Notes in Mathematics, vol. 716, Springer, Berlin, 1979. An introduction. MR 537441
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
- [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
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
