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 algebras. Via specific matched pairs …