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Hopf algebras of GK-dimension two with vanishing Ext-group. (English) Zbl 1355.16033

Summary: We construct and study a family of finitely generated Hopf algebra domains \(H\) of Gelfand-Kirillov dimension two such that \(\mathrm{Ext}_H^1(k,k)=0\). Consequently, we answer a question of K. R. Goodearl and the second author [J. Algebra 324, No. 11, 3131–3168 (2010; Zbl 1228.16030)].

MSC:

16T05 Hopf algebras and their applications
16P90 Growth rate, Gelfand-Kirillov dimension

Citations:

Zbl 1228.16030

References:

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