Abstract
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.
Citation
Claude Roger. "Algebras Generated by Odd Derivations." J. Geom. Symmetry Phys. 40 53 - 59, 2015. https://doi.org/10.7546/jgsp-40-2015-53-59
Information