The \(p\)-operation of the Zassenhaus algebra
type: Item
instance of: scholarly article
title: The \(p\)-operation of the Zassenhaus algebra
zbMATH Open document ID: 0928.17021
author: S. A. Tyurin
published in: Russian Mathematics
publication date: 1999-06-28T00:00:00Z
review text: A Zassenhaus algebra is a Lie algebra of dimension \(p^n\) over a field of characteristic \(p\) consisting of the special derivations of the divided power algebra \({\mathfrak A}(1:n)\). Each such derivation satisfies a \(p\)-equation \(\sum^n_{i=0}a_ix^{p^i}=0\). The author determines the coefficients in this equation for the general element of the Zassenhaus algebra.
Mathematics Subject Classification ID: 17B50
zbMATH DE Number: 1309956
zbMATH Keywords: prime characteristic
zbMATH Keywords: \(p\)-equation
zbMATH Keywords: Zassenhaus algebra
zbMATH Keywords: derivations
zbMATH Keywords: divided power algebra
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1309956