Manin Triples and Bialgebras of Left-Alia Algebras Associated with Invariant Theory

Manin Triples and Bialgebras of Left-Alia Algebras Associated with Invariant Theory

A left-Alia algebra is a vector space together with a bilinear map satisfying the symmetric Jacobi identity. Motivated by invariant theory, we first construct a class of left-Alia algebras induced by twisted derivations. Then, we introduce the notions of Manin triples and bialgebras of left-Alia alg...

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Bibliographic Details
Main Authors: Chuangchuang Kang, Guilai Liu, Zhuo Wang, Shizhuo Yu
Format: Article
Language:English
Published: MDPI AG 2024-01-01
Series:Mathematics
Subjects:
left-Alia algebra
bialgebra
invariant theory
Manin triple
matched pair
representation
Online Access:https://www.mdpi.com/2227-7390/12/3/408

Internet

https://www.mdpi.com/2227-7390/12/3/408

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