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Toward Classification of Classical Lie Superalgebras

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Differential Geometric Methods in Theoretical Physics

Part of the book series: NATO ASI Series ((NSSB,volume 245))

Abstract

The purpose of this talk is to list the known simple Z-graded Lie superalgebras of finite growth over the field ยข of complex numbers, compare the list with the similar one for Lie algebras, discuss their completeness and make emphasis on the geometric structures preserved by these algebras.

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References

  1. Berezin F.A., Introduction to analysis with anticommuting variables.

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  2. Kluwer, Dodrecht, 1987.

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ยฉ 1990 Springer Science+Business Media New York

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Leites, D. (1990). Toward Classification of Classical Lie Superalgebras. In: Chau, LL., Nahm, W. (eds) Differential Geometric Methods in Theoretical Physics. NATO ASI Series, vol 245. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-9148-7_62

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  • DOI: https://doi.org/10.1007/978-1-4684-9148-7_62

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-9150-0

  • Online ISBN: 978-1-4684-9148-7

  • eBook Packages: Springer Book Archive

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