Lie Bialgebra Structures on the Lie Algebra L Related to the Virasoro Algebra

Lie triple derivation algebra of Virasoro-like algebra

Let $mathfrak{L}$ be the Virasoro-like algebra and $mathfrak{g}$ itsderived algebra, respectively. We investigate the structure of the Lie triplederivation algebra of $mathfrak{L}$ and $mathfrak{g}$. We provethat they are both isomorphic to $mathfrak{L}$, which provides twoexamples of invariance under triple derivation.

L∞ algebra structures of Lie algebra deformations

In this paper,we will show how to kill the obstructions to Lie algebra deformations via a method which essentially embeds a Lie algebra into Strong homotopy Lie algebra or L∞ algebra. All such obstructions have been transfered to the revelvant L∞ algebras which contain only three terms.

lie triple derivation algebra of virasoro-like algebra

let $mathfrak{l}$ be the virasoro-like algebra and $mathfrak{g}$ itsderived algebra, respectively. we investigate the structure of the lie triplederivation algebra of $mathfrak{l}$ and $mathfrak{g}$. we provethat they are both isomorphic to $mathfrak{l}$, which provides twoexamples of invariance under triple derivation.

Lie Bialgebra Structures on Twodimensional Galilei Algebra and Their Lie–poisson Counterparts

All bialgebra structures on twodimensional Galilei algebra are classified. The corresponding Lie–Poisson structures on Galilei group are found. ∗Supported by the Lódź University Grant No.487

PostLie algebra structures on the Lie Algebra SL(2,Ca)