Simple finite-dimensional modular noncommutative Jordan superalgebras

Pozhidaev, A. P.; Shestakov, I. P.

doi:10.1016/j.jpaa.2018.07.017

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsStatisticsRelease HistoryDetailsSummary

Released

Journal Article

Simple finite-dimensional modular noncommutative Jordan superalgebras

MPS-Authors

/persons/resource/persons236185

Shestakov, I. P.
Max Planck Institute for Mathematics, Max Planck Society;

External Ressource

https://doi.org/10.1016/j.jpaa.2018.07.017
(Publisher version)

Fulltext (public)

MPIM Preprint series 2017-31.pdf
(Preprint), 361KB

Supplementary Material (public)

There is no public supplementary material available

Citation

Pozhidaev, A. P., & Shestakov, I. P. (2019). Simple finite-dimensional modular noncommutative Jordan superalgebras. Journal of Pure and Applied Algebra, 223(6), 2320-2344. doi:10.1016/j.jpaa.2018.07.017.

Cite as: http://hdl.handle.net/21.11116/0000-0004-7521-3

Abstract

We classify the central simple finite-dimensional noncommutative Jordan superalgebras over an algebraically closed field of characteristic p > 2. The case of characteristic 0 was considered by the authors in the previous paper [21]. In particular, we describe Leibniz brackets on all finite dimensional central simple Jordan superalgebras except mixed (nor vector neither Poisson) Kantor doubles of the supercommutative superalgebra B(m, n).