On Hopf algebra extensions and cohomologies.
Date
2002
Authors
Mastnak, Mitja.
Journal Title
Journal ISSN
Volume Title
Publisher
Dalhousie University
Abstract
Description
The purpose of this work is to study Hopf algebra extensions and their relation to cohomology. We introduce various cohomology theories for Hopf algebras, explore their relations to each other and how they classify different kinds of extensions. An exact sequence connecting these cohomology theories is obtained, vastly generalizing those of Kac, Tahara and Masuoka. The morphisms in the low degree part of this sequence are given explicitly, which enables us to use them for concrete computations.
Thesis (Ph.D.)--Dalhousie University (Canada), 2002.
Thesis (Ph.D.)--Dalhousie University (Canada), 2002.
Keywords
Mathematics.