Lie algebras of small dimension
Helmut Strade
TL;DR
This paper provides a comprehensive classification of all nonsolvable Lie algebras with dimension less than 7 over finite fields, aiding in the understanding of their structure and diversity.
Contribution
It offers a complete list of isomorphism classes of small-dimensional nonsolvable Lie algebras over finite fields, which was previously unknown.
Findings
Complete classification of nonsolvable Lie algebras under 7 dimensions
Identification of all isomorphism classes over finite fields
Facilitates further algebraic research and applications
Abstract
We present a list of all isomorphism classes of nonsolvable Lie algebras of dimension less than 7 over a finite field.
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Taxonomy
TopicsFinite Group Theory Research · Advanced Topics in Algebra · Advanced Algebra and Geometry