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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DOI

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).
DOI : 10.1017/S0017089516000410
Mots-clés : 16T05, 57T05, 16P90, 16E65
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
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     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},
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     doi = {10.1017/S0017089516000410},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000410/}
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