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2015 Algebras Generated by Odd Derivations
Claude Roger
J. Geom. Symmetry Phys. 40: 53-59 (2015). DOI: 10.7546/jgsp-40-2015-53-59


Given an associative supercommutative algebra equipped with an odd derivation, one considers the space of vector fields it defines, and show, under suitable hypothesis, they form a Jordan superalgebra; in contrast with the Lie superalgebras of Virasoro type constructed from even derivations. Relations with Anti Lie algebras studied by Ovsienko and collaborators are then shown.


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Claude Roger. "Algebras Generated by Odd Derivations." J. Geom. Symmetry Phys. 40 53 - 59, 2015.


Published: 2015
First available in Project Euclid: 27 May 2017

zbMATH: 1369.17031
MathSciNet: MR3496358
Digital Object Identifier: 10.7546/jgsp-40-2015-53-59

Rights: Copyright © 2015 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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