Book Review
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MathSciNet review:
1567794
Full text of review:
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Book Information:
Author:
Felix Alexandrovich Berezin
Title:
Introduction to superanalysis
Additional book information:
Edited by A. A. Kirillov. Translated by J. Niederle and R. Kotecký. Mathematical Physics and Applied Mathematics, vol. 9, D. Reidel Publishing Company, Dordrecht, 1987, xii + 424 pp., $109.00. ISBN 90-277-1668-4.
Marjorie Batchelor, The structure of supermanifolds, Trans. Amer. Math. Soc. 253 (1979), 329–338. MR 536951, DOI 10.1090/S0002-9947-1979-0536951-0
[Ga] K. Gawedzki, Supersymmetries-—mathematics of supergeometry, Ann. Inst. H. Poincaré Sect. A (N. S. ) 27 (1977), 335-366.
Paul Green, On holomorphic graded manifolds, Proc. Amer. Math. Soc. 85 (1982), no. 4, 587–590. MR 660609, DOI 10.1090/S0002-9939-1982-0660609-6
Bertram Kostant, Graded manifolds, graded Lie theory, and prequantization, Differential geometrical methods in mathematical physics (Proc. Sympos., Univ. Bonn, Bonn, 1975) Lecture Notes in Math., Vol. 570, Springer, Berlin, 1977, pp. 177–306. MR 0580292
[M] Yu. I. Manin, Gauge field theory, Grundlehren Math. Wiss. vol. 289, Springer-Verlag, Berlin, Heidelberg, and New York.
- [B] M. Batchelor, The structure of supermanifolds, Trans. Amer. Math. Soc. 253 (1979), 329-338. MR 0536951
- [Ga] K. Gawedzki, Supersymmetries-—mathematics of supergeometry, Ann. Inst. H. Poincaré Sect. A (N. S. ) 27 (1977), 335-366.
- [Gr] P. Green, On holomorphic graded manifolds, Proc. Amer. Math. Soc. 85 (1982), 587-590. MR 660609
- [K] B. Kostant, Graded manifolds, graded Lie theory and prequantization, Differential Geometric Methods in Mathematical Physics (Proc. Sympos. Univ. Bonn, Bonn, 1975), Lecture Notes in Math., vol. 570, Springer-Verlag, Berlin, Heidelberg and New York, 1977, pp. 177-306. MR 580292
- [M] Yu. I. Manin, Gauge field theory, Grundlehren Math. Wiss. vol. 289, Springer-Verlag, Berlin, Heidelberg, and New York.
Review Information:
Reviewer:
Mitchell J. Rothstein
Journal:
Bull. Amer. Math. Soc.
21 (1989), 189-192
DOI:
https://doi.org/10.1090/S0273-0979-1989-15814-X