Forms of pointed Hopf algebras
type: Item
instance of: scholarly article
title: Forms of pointed Hopf algebras
zbMATH Open document ID: 0938.16031
published in: Manuscripta Mathematica
publication date: 1999-11-14T00:00:00Z
review text: The authors classify finite dimensional Hopf algebras over a field \(k\) of characteristic \(0\) which are forms of certain pointed Hopf algebras over the algebraic closure \(\overline k\). The classes of pointed Hopf algebras whose forms are determined are those of dimension \(p^2\), \(p^3\) (\(p\) an odd prime number) and Frobenius-Lusztig kernels; it is assumed that the field \(k\) contains a suitable root of \(1\), so that suitable ``split'' forms do exist. The description of the forms is parallel to descriptions of forms of other algebraic objects.
Mathematics Subject Classification ID: 16W30
zbMATH DE Number: 1355505
zbMATH Keywords: pointed Hopf algebras
zbMATH Keywords: finite dimensional Hopf algebras
zbMATH Keywords: Frobenius-Lusztig kernels
author: Stefaan Caenepeel
author: Sorin Dascalescu
author: Lieven Le Bruyn
reviewed by: Nicolás Andruskiewitsch
MaRDI profile type: Publication
full work available at URL: s002290050194
OpenAlex ID: W2027603638
DOI: 10.1007/S002290050194
description: scientific article; zbMATH DE number 1355505