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Manin Triples and Bialgebras of Left-Alia Algebras Associated with Invariant Theory.
- Source :
- Mathematics (2227-7390); Feb2024, Vol. 12 Issue 3, p408, 16p
- Publication Year :
- 2024
-
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]
- Subjects :
- ALGEBRA
VECTOR algebra
VECTOR spaces
BILINEAR forms
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 12
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 175370016
- Full Text :
- https://doi.org/10.3390/math12030408