×

Two approaches to supermanifolds. (English) Zbl 0426.58003


MSC:

58A05 Differentiable manifolds, foundations
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] Marjorie Batchelor, The structure of supermanifolds, Trans. Amer. Math. Soc. 253 (1979), 329 – 338. · Zbl 0413.58002
[2] F. A. Berezin, The method of second quantization, Translated from the Russian by Nobumichi Mugibayashi and Alan Jeffrey. Pure and Applied Physics, Vol. 24, Academic Press, New York-London, 1966. · Zbl 0151.44001
[3] F. A. Berezin and G. I. Kac, Lie groups with commuting and anticommuting parameters, Mat. Sb. (N.S.) 82 (124) (1970), 343 – 359 (Russian). · Zbl 0248.22022
[4] F. Berezin and D. Leites, Supervarieties, Soviet Math. Dokl. 16 (1975), 1218-1222.
[5] L. Corwin, Y. Ne’eman, and S. Sternberg, Graded Lie algebras in mathematics and physics (Bose-Fermi symmetry), Rev. Modern Phys. 47 (1975), 573 – 603. · Zbl 0557.17004
[6] B. de Witt, Differential supergeometry (in preparation).
[7] V. G. Kac, Lie superalgebras, Advances in Math. 26 (1977), no. 1, 8 – 96. · Zbl 0366.17012
[8] Bertram Kostant, Graded manifolds, graded Lie theory, and prequantization, Differential geometrical methods in mathematical physics (Proc. Sympos., Univ. Bonn, Bonn, 1975) Springer, Berlin, 1977, pp. 177 – 306. Lecture Notes in Math., Vol. 570. · Zbl 0358.53024
[9] Walter Rudin, Functional analysis, McGraw-Hill Book Co., New York-Düsseldorf-Johannesburg, 1973. McGraw-Hill Series in Higher Mathematics. · Zbl 0253.46001
[10] Moss E. Sweedler, Hopf algebras, Mathematics Lecture Note Series, W. A. Benjamin, Inc., New York, 1969. · Zbl 0194.32901
[11] François Trèves, Topological vector spaces, distributions and kernels, Academic Press, New York-London, 1967. · Zbl 0171.10402
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.