Super Hamiltonian Operators and Lie Superalgebras
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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- 7.Lende, E. van der and Pijls, H.G.J. Super Hamiltonian Operators and Lie superalgebras. To appear in Indagationes Math.Google Scholar