Ternary superderivations of Jordan superalgebras
Alexey Shestakov
TL;DR
This paper characterizes ternary and generalized superderivations in finite-dimensional semisimple and simple Jordan superalgebras over algebraically closed fields, extending known results to various characteristics.
Contribution
It provides a comprehensive description of superderivations in Jordan superalgebras, including cases with semisimple even parts and different field characteristics.
Findings
Complete classification of superderivations for specified Jordan superalgebras.
Extension of results to fields of arbitrary characteristic not equal to 2.
Identification of structural properties of superderivations in these algebras.
Abstract
We describe the ternary and the generalized superderivations of finite-dimensional semisimple Jordan superalgebras over an algebraically closed field of characteristic zero and of finite-dimensional simple Jordan superalgebras with semisimple even part over an algebraically closed field of any characteristic not equal 2.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Matrix Theory and Algorithms