Quadratic Malcev Superalgebras with reductive even part
Helena Albuquerque, Elizabete Barreiro, Said Benayadi
TL;DR
This paper provides an inductive framework for understanding quadratic Malcev superalgebras with reductive even parts, utilizing double extension techniques adapted from Lie superalgebras.
Contribution
It introduces a method to describe quadratic Malcev superalgebras with reductive even parts through generalized double extensions.
Findings
Develops an inductive description of quadratic Malcev superalgebras
Adapts double extension concepts from Lie superalgebras
Provides a new tool for classifying Malcev superalgebras
Abstract
It is our goal to give an inductive description of quadratic Malcev superalgebras with reductive even part. We use the notion of double extension of Malcev superalgebras presented by H. Albuquerque and S. Benayadi and transfer to Malcev superalgebras the concept of generalized double extension for Lie superalgebras.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons