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Your search keyword '"Yu, Shizhuo"' showing total 1 results
Start Over Author "Yu, Shizhuo" Journal mathematics (2227-7390)
1 results on '"Yu, Shizhuo"'

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

Author

Kang, Chuangchuang, Liu, Guilai, Wang, Zhuo, and Yu, Shizhuo

Subjects
ALGEBRA, VECTOR algebra, VECTOR spaces, BILINEAR forms, INVARIANT theory
Abstract

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 algebras. Via specific matched pairs of left-Alia algebras, we figure out the equivalence between Manin triples and bialgebras of left-Alia algebras. [ABSTRACT FROM AUTHOR]

Published
2024
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