Co-quasi Hopf algebras

Project level: Honours, Masters, PhD

The notion of a quasi Hopf algebra dualises to that of a co-quasi Hopf algebra which have so far received comparatively little attention. This is despite the fact that many current algebraic structures of interest in mathematical physics can be best understood in this framework. This includes Yang-Baxter algebras or generalised Yangians and the quantum double construction, which can be understood most naturally in the framework of co-twists on a tensor product Hopf algebra. The aim of this project is to extend Drinfeld’s theory of twisting to co-twisting in the co-quasi Hopf case.