Y
Yunhe Sheng
Researcher at Jilin University
Publications - 136
Citations - 2168
Yunhe Sheng is an academic researcher from Jilin University. The author has contributed to research in topics: Lie algebra & Cohomology. The author has an hindex of 20, co-authored 114 publications receiving 1620 citations. Previous affiliations of Yunhe Sheng include Peking University & Dalian University of Technology.
Papers
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Representations of Hom-Lie Algebras
TL;DR: In this paper, the adjoint representation and trivial representation of hom-Lie algebras are studied in detail, and derivations, deformations, central extensions and derivation extensions are also studied as an application.
Journal ArticleDOI
Representations of hom-Lie algebras
TL;DR: In this paper, the adjoint representation and trivial representation of hom-Lie algebras are studied in detail, and derivations, deformations, central extensions and derivation extensions are also studied as an application.
Journal ArticleDOI
Hom-Lie 2-algebras☆
Yunhe Sheng,Danhua Chen +1 more
TL;DR: The notion of hom-Lie 2-algebras has been introduced in this paper, which is the hom-analogues of the string Lie 2-Algebra associated to any semisimple involutive hom-lie alga.
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A new approach to hom-Lie bialgebras
Yunhe Sheng,Chengming Bai +1 more
TL;DR: In this paper, a new definition of a hom-Lie bialgebra, which is equivalent to a Manin triple of hom-lie algebras, was introduced.
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Deformations and Their Controlling Cohomologies of O-Operators
TL;DR: In this paper, a deformation theory of $${\mathcal{O}}$$ -operators is established in consistence with the general principles of deformation theories, and the notion of Nijenhuis elements is introduced to characterize trivial linear deformations.