On G-Derivations of Lie-Yamaguti Algebras
Aroonima Sahoo, Tofan Kumar Khuntia, and Kishor Chandra Pati
TL;DR
This paper investigates G-derivations in Lie-Yamaguti algebras, defining their properties and relationships with other derivations, enhancing understanding of their algebraic structure.
Contribution
It introduces the concept of G-derivations for Lie-Yamaguti algebras and explores their key properties and connections with existing derivations.
Findings
G-derivations are characterized for Lie-Yamaguti algebras
Relationships between G-derivations and other derivations are established
Properties of G-derivations are systematically studied
Abstract
This paper primarily deals with the study of G-derivations associated with Lie-Yamaguti algebras. Taking G as an automorphism group, the concept of G-derivations, which is a derivation under both the bilinear and trilinear operations is defined for Lie-Yamaguti algebras. Then some important properties of G-derivations are studied along with their relationship with other generalized derivations of Lie-Yamaguti algebras.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Nonlinear Waves and Solitons