Pointed Hopf actions on fields, II
Name
Etingof_Pointed Hopf.pdf
Size
359.96 KB
Format
Adobe PDF
Checksum (MD5)
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Author(s)
Walton, Chelsea
Etingof, Pavel I
Date Issued
August 2016
Journal
Journal of Algebra
Publisher
Elsevier BV
Citation
Etingof, Pavel, and Chelsea Walton. “Pointed Hopf Actions on Fields, II.” Journal of Algebra, vol. 460, Aug. 2016, pp. 253–83.
Version
Final published version
Abstract
This is a continuation of the authors' study of finite-dimensional pointed Hopf algebras H which act inner faithfully on commutative domains. As mentioned in Part I of this work, the study boils down to the case where H acts inner faithfully on a field. These Hopf algebras are referred to as Galois-theoretical. In this work, we provide classification results for finite-dimensional pointed Galois-theoretical Hopf algebras H of finite Cartan type. Namely, we determine when such H of type A[superscript ×r][subscript 1] and some H of rank two possess the Galois-theoretical property. Moreover, we provide necessary and sufficient conditions for Reshetikhin twists of small quantum groups to be Galois-theoretical. Keywords: Field, Finite Cartan type, Galois-theoretical, Hopf algebra action, Pointed
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1016/J.JALGEBRA.2016.04.017
