Geodesic
Differential smoothness of affine Hopf algebras of Gelfand–Kirillov dimension two
Tomasz Brzeziński1
1 Department of Mathematics Swansea University Swansea SA2 8PP, U.K.
Colloquium Mathematicum, Tome 139 (2015) no. 1, pp. 111-119

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Two-dimensional integrable differential calculi for classes of Ore extensions of the polynomial ring and the Laurent polynomial ring in one variable are constructed. Thus it is concluded that all affine pointed Hopf domains of Gelfand–Kirillov dimension two which are not polynomial identity rings are differentially smooth.
DOI : 10.4064/cm139-1-6
Keywords: two dimensional integrable differential calculi classes ore extensions polynomial ring laurent polynomial ring variable constructed concluded affine pointed hopf domains gelfand kirillov dimension which polynomial identity rings differentially smooth

Tomasz Brzeziński 1

1 Department of Mathematics Swansea University Swansea SA2 8PP, U.K. 
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Tomasz Brzeziński. Differential smoothness of affine Hopf algebras of Gelfand–Kirillov dimension two. Colloquium Mathematicum, Tome 139 (2015) no. 1, pp. 111-119. doi: 10.4064/cm139-1-6

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