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.