We introduce braided Lie bialgebras as the infinitesimal version of braided groups. They are Lie algebras and Lie coalgebras with the coboundary of the Lie cobracket an infinitesimal braiding. We provide theorems of transmutation, Lie biproduct, bosonisation and double-bosonisation relating braided Lie bialgebras to usual Lie bialgebras. Among the results, the kernel of any split projection of ...

We discuss a non-dynamical theory of gravity in three-dimensions which is based on an infinite-dimensional Lie algebra that closely related to extended AdS algebra. find intriguing connection between the one hand higher-derivative theories are consistent with holographic c-theorem and other truncations this violate structure. show three dimensions different reproduce, up terms do not contribute...