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

NON-AFFINE HOPF ALGEBRA DOMAINS OF GELFAND–KIRILLOV DIMENSION TWO
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DOI:
10.1017/s0017089516000410
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发表时间:
2016-06
影响因子:
0.5
通讯作者:
K. Goodearl;J. J. Zhang-J.
K. Goodearl;J. J. Zhang-J.
中科院分区:
数学4区
文献类型:
--
作者:
K. Goodearl;J. J. Zhang-J.

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Abstract 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. Algebra 324 (2010), 3131–3168).