Super Hamiltonian Operators and Lie Superalgebras

  • E. D. van der Lende
  • H. G. J. Pijls
Conference paper
Part of the Research Reports in Physics book series (RESREPORTS)


A superversion of the formal calculus of variations as developed by I.M. Gel’fand et al. is presented. It is proved that with a linear super Hamiltonian operator one can associate a Lie superalgebra structure on the space of (reduced) 1-forms and vice versa. Also a theorem is proved about the connection between cocycles on this Lie superalgebra and super Hamiltonian operators. Finally an application is given.


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Copyright information

© Springer-Verlag Berlin, Heidelberg 1990

Authors and Affiliations

  • E. D. van der Lende
    • 1
  • H. G. J. Pijls
    • 1
  1. 1.Mathematical InstituteUniversity of AmsterdamAmsterdamThe Netherlands

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