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Antipodes and cosemisimple hopf algebra.

by Lo Kwok Kei. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1995. / Includes bibliographical references (leaves 97-98). / Chapter 1 --- Introduction --- p.2 / Chapter 1.1 --- Algebra and Coalgebra --- p.2 / Chapter 1.2 --- Bialgebra and Hopf Algebra --- p.18 / Chapter 1.3 --- Integral and Semisimplicity --- p.26 / Chapter 2 --- Order of antipode --- p.44 / Chapter 2.1 --- An Isomorphism between H and H* --- p.44 / Chapter 2.2 --- Opposite-co-opposite Hopf algebras --- p.50 / Chapter 2.3 --- Antipode has finite order --- p.57 / Chapter 3 --- Larson's Characters --- p.65 / Chapter 3.1 --- Theory of Characters for comodules --- p.66 / Chapter 3.2 --- Simple subcoalgebras under the action s2 --- p.75 / Chapter 4 --- Semisimple and Cosemisimple Hopf Algebras --- p.78 / Chapter 4.1 --- Trace functions for Hopf algebras --- p.78 / Chapter 4.2 --- Cosemisimple Hopf algebras are semisimple --- p.86 / Chapter 4.3 --- Semisimple Hopf algebras are involutory --- p.90

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_321521
Date January 1996
ContributorsLo, Kwok Kei., Chinese University of Hong Kong Graduate School. Division of Mathematics.
PublisherChinese University of Hong Kong
Source SetsThe Chinese University of Hong Kong
LanguageEnglish
Detected LanguageEnglish
TypeText, bibliography
Formatprint, [4], 98 leaves ; 30 cm.
RightsUse of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/)

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