ABSTRACT

The final chapter contains some odds and ends, opening more doors for future research. A first path is devoted to the study of cofragments and Hopf gliders. The necessary definitions are provided and after some preliminary results one-point extensions of finite dimensional elementary algebras are considered. In Section 9.2 glider representations for various filtrations on Weyl algebras are studied and Section 9.3 deals with the definition of the Gelfand-Kirillov dimension of FA-fragments where FA is a positive algebra filtration.