The complete classification of irreducible components of varieties of Jordan superalgebras

2025/08/03 by Renato Fehlberg Júnior, Ivan Kaygorodov, Júnior, Renato Fehlberg +3
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2508.02754

openalex publication_date 2025/08/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The aim of the present short note is to answer the open questions posted by Hernández, Martin, and Rodrigues in \rm \citep1,p2. The obtained results give the complete classification of irreducible components in the varieties of Jordan superalgebras of types (3,1) and (2,2).

Citations

• The geometric classification of nilpotent Lie-Yamaguti, Bol and compatible Lie algebras
• The Variety of Jordan Superalgebras of dimension four and even part of dimension two
• Irreducible Components of the Varieties of Jordan Superalgebras of Types (1,3) and (3,1)
• The algebraic and geometric classification of Jordan superalgebras

Related

• Irreducible Components of the Varieties of Jordan Superalgebras of Types (1,3) and (3,1)
• The algebraic and geometric classification of Jordan superalgebras
• Irreducible components of the Jordan varieties
• The Variety of Jordan Superalgebras of dimension four and even part of dimension two
• Classification of three-dimensional Jordan superalgebras