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On prolongation and invariance algebras in superspace

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Global Differential Geometry and Global Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1481))

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Abstract

The Lie procedure of finding the invariance algebra (group) of partial differential equations is generalized to the case of equations in superspace. The expressions for twice-prolonged infinitesimal operators in the superfield form are obtained. Within the frames of the approach the hidden symmetries of supersymmetric quantum mechanics are found.

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Author information

Authors and Affiliations

  1. Institute of Physics, Estonian Academy of Sciences, 202400, Tartu, Estonia, Russia

    Vladimir Rosenhaus

Authors
  1. Vladimir Rosenhaus
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Editor information

Dirk Ferus Ulrich Pinkall Udo Simon Berd Wegner

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© 1991 Springer-Verlag

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Rosenhaus, V. (1991). On prolongation and invariance algebras in superspace. In: Ferus, D., Pinkall, U., Simon, U., Wegner, B. (eds) Global Differential Geometry and Global Analysis. Lecture Notes in Mathematics, vol 1481. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083643

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  • DOI: https://doi.org/10.1007/BFb0083643

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54728-0

  • Online ISBN: 978-3-540-46445-7

  • eBook Packages: Springer Book Archive

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