Differential smoothness of affine Hopf algebras of Gelfand-Kirillov dimension two

• Autorzy: Tomasz Brzeziński
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 16S36: Ordinary and skew polynomial rings and semigroup rings
• 58B32: Geometry of quantum groups
• 16T05: Hopf algebras and their applications

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2015
• Tom: 139
• Numer: 1
• Strony: 111-119

Daty

wydano

2015

Twórcy

autor

Tomasz Brzeziński

• Department of Mathematics, Swansea University, Swansea SA2 8PP, U.K.

Identyfikatory

DOI

10.4064/cm139-1-6