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Simple Facts Concerning Nambu Algebras

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Abstract:

A class of substitution equations arising in the extension of Jacobi identity for $n$-gebras is studied and solved. Graded bracket and cohomology adapted to the study of formal deformations are presented. New identities in the case of Nambu-Lie algebras are proved. The triviality in the Gerstenhaber sense of certain deformed n-skew-symmetric brackets, satisfying the Leibniz rule with respect to a star-product, is shown for n≥ 3.

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  1. Laboratoire Gevrey de Mathématique Physique, Université de Bourgogne, BP 400, F-21011 Dijon Cedex, France. E-mail: gauthphi@u-bourgogne.fr, , , , , , FR

    Philippe Gautheron

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  1. Philippe Gautheron
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Received: 24 October 1997 / Accepted: 1 December 1997

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Gautheron, P. Simple Facts Concerning Nambu Algebras . Comm Math Phys 195, 417–434 (1998). https://doi.org/10.1007/s002200050396

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  • DOI: https://doi.org/10.1007/s002200050396

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