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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.

Keywords

Mathematics.

Citation