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Introduction

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Introduction to Superanalysis

Part of the book series: Mathematical Physics and Applied Mathematics ((MPAM,volume 9))

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Abstract

The first work on supermathematics seems to have been an article by I. L. Martin [1] published in 1959. In that paper Martin constructed the Poisson algebra for functions of anticommuting variables

$$[f,g] = \sum \left( {f(x)\frac{{\overleftarrow \partial }}{{\partial {x_i}}}} \right)\mathop \omega \nolimits_{ik} \left( {\frac{{\overrightarrow \partial }}{{\partial {x_k}}}g(x)} \right).$$

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Authors
  1. Felix Alexandrovich Berezin
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A. A. Kirillov

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© 1987 Springer Science+Business Media Dordrecht

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Berezin, F.A. (1987). Introduction. In: Kirillov, A.A. (eds) Introduction to Superanalysis. Mathematical Physics and Applied Mathematics, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1963-6_1

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  • DOI: https://doi.org/10.1007/978-94-017-1963-6_1

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-8392-0

  • Online ISBN: 978-94-017-1963-6

  • eBook Packages: Springer Book Archive

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