Semisimple Leibniz algebras and their derivations and automorphisms
Shavkat Ayupov, Karimbergen Kudaybergenov, Bakhrom Omirov, Kaiming, Zhao
TL;DR
This paper characterizes finite-dimensional semisimple Leibniz algebras over complex numbers, focusing on their derivations and automorphisms, providing a structural understanding of these algebraic objects.
Contribution
It offers a comprehensive description of the structure, derivations, and automorphisms of semisimple Leibniz algebras over complex numbers, advancing the classification of these algebras.
Findings
Classification of semisimple Leibniz algebras over complex numbers
Explicit description of derivations and automorphisms
Structural insights into algebraic properties
Abstract
The present paper is devoted to the description of finite-dimensional semisimple Leibniz algebras over complex numbers, their derivations and automorphisms.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Nonlinear Dynamics and Pattern Formation