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Lie-Yamaguti algebras with a derivation

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Publication:6665938
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DOI10.12386/a20210171MaRDI QIDQ6665938

Shuangjian Guo

Publication date: 17 January 2025

Published in: Acta Mathematica Sinica. Chinese Series (Search for Journal in Brave)




zbMATH Keywords

cohomologydeformationderivationcentral extensionLie-Yamaguti algebra


Mathematics Subject Classification ID

Nonassociative algebras satisfying other identities (17A30)


Cites Work

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  • On the deformation of Lie-Yamaguti algebras
  • Irreducible Lie-Yamaguti algebras
  • Cohomologies of a Lie algebra with a derivation and applications
  • Higher derived brackets and homotopy algebras
  • Leibniz algebras, Courant algebroids, and multiplications on reductive homogeneous spaces
  • On an algorithm for finding derivations of Lie algebras
  • Deformations and extensions of Lie–Yamaguti algebras
  • On the operad of associative algebras with derivation
  • Review of deformation theory I: Concrete formulas for deformations of algebraic structures
  • Nijenhuis operators, product structures and complex structures on Lie–Yamaguti algebras
  • Lie and Jordan Triple Systems







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