Friedrich Wagemann: Algebra deformations of Connes-Moscovici's Hopf algebra



Abstract: in this joint work with Alice Fialowski (in progress), we compute the infinitesimal deformations of Connes-Moscovici's Hopf algebra H_1 as an algebra. By standard homological algebra, this reduces to a computation of Lie algebra cohomology of a Lie algebra which is close to the infinite dimensional filiform Lie algebra m_0 and whose cohomology is thus not too far from well known results.