NON-AFFINE HOPF ALGEBRA DOMAINS OF GELFAND–KIRILLOV DIMENSION TWO
Glasgow mathematical journal, Tome 59 (2017) no. 3, pp. 563-593
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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 Ext1 H (k, k) ≠ 0. The affine ones were classified by the authors in 2010 (Goodearl and Zhang, J. Algebra324 (2010), 3131–3168).
GOODEARL, K. R.; ZHANG, J. J. NON-AFFINE HOPF ALGEBRA DOMAINS OF GELFAND–KIRILLOV DIMENSION TWO. Glasgow mathematical journal, Tome 59 (2017) no. 3, pp. 563-593. doi: 10.1017/S0017089516000410
@article{10_1017_S0017089516000410,
author = {GOODEARL, K. R. and ZHANG, J. J.},
title = {NON-AFFINE {HOPF} {ALGEBRA} {DOMAINS} {OF} {GELFAND{\textendash}KIRILLOV} {DIMENSION} {TWO}},
journal = {Glasgow mathematical journal},
pages = {563--593},
year = {2017},
volume = {59},
number = {3},
doi = {10.1017/S0017089516000410},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000410/}
}
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%0 Journal Article %A GOODEARL, K. R. %A ZHANG, J. J. %T NON-AFFINE HOPF ALGEBRA DOMAINS OF GELFAND–KIRILLOV DIMENSION TWO %J Glasgow mathematical journal %D 2017 %P 563-593 %V 59 %N 3 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000410/ %R 10.1017/S0017089516000410 %F 10_1017_S0017089516000410
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