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NON-AFFINE HOPF ALGEBRA DOMAINS OF GELFAND–KIRILLOV DIMENSION TWO

Published online by Cambridge University Press:  20 March 2017

K. R. GOODEARL  and
J. J. ZHANG
K. R. GOODEARL
Affiliation:
Department of Mathematics University of California at Santa Barbara, Santa Barbara, CA 93106, USA e-mail: goodearl@math.ucsb.edu
J. J. ZHANG
Affiliation:
Department of Mathematics, University of Washington, Box 354350, Seattle, WA 98195, USA e-mail: zhang@math.washington.edu
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Abstract

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We classify all non-affine Hopf algebras H over an algebraically closed field k of characteristic zero that are integral domains of Gelfand–Kirillov dimension two and satisfy the condition Ext1H(k, k) ≠ 0. The affine ones were classified by the authors in 2010 (Goodearl and Zhang, J. Algebra324 (2010), 3131–3168).

Keywords

16T0557T0516P9016E65
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 59 , Issue 3 , September 2017 , pp. 563 - 593
Copyright
Copyright © Glasgow Mathematical Journal Trust 2017 

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