arXiv research

Study biderivations in complete Leibniz algebras, extending Lie algebra results.

This research introduces Lie brackets on spaces of biderivations in Lie algebras.

New algebraic tools solve Poisson and Lie bialgebra problems.

On a manifold with a projective connection we canonically assign a second order differential operator acting on the algebra of all densities to any tensor density $S^{ij}$ of fixed weight $λ$. In particular, this implies that on any projectively connected manifold, a `bracket' (symmetric biderivation) on the algebra of…