Simple Finite-Dimensional Jordan Superalgebras of Prime Characteristic

By C. Martínez, Efim I. Zelmanov. 2001

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Ž . V. G. Kac see K1 classified finite-dimensional simple Jordan superalgebras over algebraically closed fields of zero characteristic. Study of Jordan superalgebras of positive characteristics was initiated by I. Kaplansky Kap1 , Kap2 . M. Racine and E. Zelmanov RZ classified finite-dimensional simple Jordan superalgebras of characteristics 2 with semisimple even part. In this paper we address the remaining case when the even part is not semisimple. Structure of these superalgebras is similar to structure of infinite-dimensional Jordan superalgebras of zero characteristic that correŽ spond to the so-called superconformal algebras of contact brackets see . KL , KMZ , NS , R .

Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics

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