Extending structures for 3-Lie algebras
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In this article, the cohomology and deformation theory of 3-Lie algebras is revisited and the theory of extending structures and unified product for 3-lie algesbras are developed.Abstract:
The cohomology and deformation theory of 3-Lie algebras are revisited. The theory of extending structures and unified product for 3-Lie algebras are developed. It is proved that the extending struc...read more
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Braided anti-flexible bialgebras
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TL;DR: In this paper , the concept of braided anti-exible bialgebras was introduced and a cocycle bicrossproduct anti-expandable bialgebra was constructed by using non-abelian cohomology theory.
Extending structures for noncommutative Poisson bialgebras
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TL;DR: In this article , the concept of braided noncommutative Poisson bialgebras is introduced and the theory of cocycle bicrossproducts for non-commutive Poisson Bialges is developed.
Extending structures for Zinbiel algebras
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TL;DR: In this article , the extending structures and unified products for Zinbiel algebras are developed and some special cases of crossed products such as crossed products and matched pair of Zilberges are studied.
Cohomology of $n$-Lie algebras in Loday-Pirashvili category
TL;DR: In this paper , the authors introduced the concept of $n$-Lie algebras in the Loday-Pirashvili category and studied their representation, cohomology, deformation and abelian extension theory.
Extending structures for Poisson bialgebras
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TL;DR: In this article , the concept of braided Poisson bialgebras is introduced and the theory of cocycle bicrossproducts for Poisson Bialges is developed.
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