The complete classification of irreducible components of varieties of Jordan superalgebras
Renato Fehlberg J\'unior, Ivan Kaygorodov, Azamat Saydaliyev
TL;DR
This paper provides a complete classification of irreducible components in the varieties of Jordan superalgebras of specific types, resolving previously open questions in the field.
Contribution
It offers the first comprehensive classification of irreducible components for Jordan superalgebras of types (3,1) and (2,2), answering open problems.
Findings
Complete classification of irreducible components for (3,1) and (2,2) types
Resolved open questions in the theory of Jordan superalgebras
Clarified the structure of varieties of Jordan superalgebras
Abstract
The aim of the present short note is to answer the open questions posted by Hern\'andez, Martin, and Rodrigues in {\rm \cite{p1,p2}}. The obtained results give the complete classification of irreducible components in the varieties of Jordan superalgebras of types and
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Finite Group Theory Research