On the Deformation of Lie-Yamaguti algebras
Jie Lin, Liangyun Chen, Yao Ma
TL;DR
This paper develops a deformation theory for Lie-Yamaguti algebras using cohomology, exploring how these structures deform and identifying obstructions to such deformations.
Contribution
It introduces a cohomology-based framework for understanding deformations and obstructions in Lie-Yamaguti algebras, advancing the theoretical understanding of their structure.
Findings
Established a cohomology theory for Lie-Yamaguti algebras.
Linked deformations to cohomological obstructions.
Provided foundational results for future deformation studies.
Abstract
The deformation theory of Lie-Yamaguti algebras is developed by choosing a suitable cohomology. The relationship between the deformation and the obstruction of Lie-Yamaguti algebras is obtained.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology