Gradings on the Kac superalgebra
Antonio Jesus, Calderon Martin, Cristina Draper, Fontanals Candido,, Martin Gonzalez
TL;DR
This paper classifies all possible gradings on the Kac superalgebra, providing a comprehensive understanding of its structural symmetries and decompositions.
Contribution
It offers the first complete classification of gradings on the Kac superalgebra, up to equivalence.
Findings
Complete classification of gradings achieved
Identification of distinct grading types
Framework for analyzing superalgebra symmetries
Abstract
We classify the gradings on the Kac superalgebra up to equivalence.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Rings, Modules, and Algebras