On minimal non-elementary Lie algebras
David A. Towers

TL;DR
This paper classifies minimal non-elementary Lie algebras over algebraically closed fields with characteristic not 2 or 3, and characterizes solvable cases over any perfect field, advancing understanding of their structure.
Contribution
It provides a complete classification of minimal non-elementary Lie algebras under specific field conditions and characterizes solvable instances over perfect fields, filling gaps in Lie algebra theory.
Findings
Classified minimal non-elementary Lie algebras over algebraically closed fields of characteristic ≠ 2,3
Characterized solvable minimal non-elementary Lie algebras over perfect fields
Extended structural understanding of these Lie algebras
Abstract
The class of minimal non-elementary Lie algebras over a field F are studied. These are classified when F is algebraically closed and of characteristic different from 2,3. The solvable algebras in this class are also characterised over any perfect field.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Advanced Topics in Algebra · Algebraic structures and combinatorial models
