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CLASSIFICATION OF QUIVER HOPF ALGEBRAS AND POINTED HOPF ALGEBRAS OF TYPE ONE

Published online by Cambridge University Press:  06 August 2012

SHOUCHUAN ZHANG ,
HUI-XIANG CHEN  and
YAO-ZHONG ZHANG
SHOUCHUAN ZHANG
Affiliation:
Department of Mathematics, Hunan University, Changsha 410082, PR China School of Mathematics and Physics, The University of Queensland, Brisbane 4072, Australia
HUI-XIANG CHEN
Affiliation:
Department of Mathematics, Yangzhou University, Yangzhou 225002, PR China
YAO-ZHONG ZHANG*
Affiliation:
School of Mathematics and Physics, The University of Queensland, Brisbane 4072, Australia (email: yzz@maths.uq.edu.au)
*
✉For correspondence; e-mail: yzz@maths.uq.edu.au
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Abstract

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Quiver Hopf algebras are classified by means of ramification systems with irreducible representations. This leads to the classification of Nichols algebras over group algebras and pointed Hopf algebras of type one.

Keywords

quiversHopf algebrasHopf bimodulesNichols algebras
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 87 , Issue 2 , April 2013 , pp. 216 - 237
Copyright
©2012 Australian Mathematical Publishing Association Inc.

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