The algebraic and geometric classification of Jordan superalgebras
Kobiljon Abdurasulov, Roman Lubkov, Azamat Saydaliyev
TL;DR
This paper provides a comprehensive algebraic and geometric classification of complex four-dimensional Jordan superalgebras, detailing their structure and the irreducible components within their varieties.
Contribution
It offers the first complete classification of four-dimensional Jordan superalgebras, including their geometric structure and irreducible components.
Findings
Classification of all complex four-dimensional Jordan superalgebras
Description of irreducible components in their varieties
Structural insights into Jordan superalgebras
Abstract
We give the algebraic and geometric classification of complex four-dimensional Jordan superalgebras. In particular, we describe all irreducible components in the corresponding varieties.
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Taxonomy
TopicsAdvanced Topics in Algebra · Rings, Modules, and Algebras