Finite Dimensional Nilpotent Leibniz Algebras with Isomorphic Maximal Subalgebras
Lindsey Farris
TL;DR
This paper classifies finite-dimensional nilpotent Leibniz algebras with isomorphic maximal subalgebras across different coclass levels, highlighting the influence of the underlying field.
Contribution
It provides a classification of nilpotent Leibniz algebras with isomorphic maximal subalgebras for coclass zero, one, and two, considering field dependence.
Findings
Classification achieved for coclass zero, one, and two.
Results depend on the underlying field.
Provides structural insights into nilpotent Leibniz algebras.
Abstract
Nilpotent Leibniz algebras with isomorphic maximal subalgebras are considered. The algebras are classified for coclass zero, one, and two. The results are field dependent.
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Taxonomy
TopicsAdvanced Topics in Algebra · Rings, Modules, and Algebras · Matrix Theory and Algorithms