Hostname: page-component-848d4c4894-x5gtn Total loading time: 0 Render date: 2024-05-06T18:17:58.114Z Has data issue: false hasContentIssue false
  • English
  • Français

Irreducible finitary Lie algebras over fields of positive characteristic

Published online by Cambridge University Press:  01 July 2000

FELIX LEINEN  and
ORAZIO PUGLISI
FELIX LEINEN
Affiliation:
Fachbereich 17-Mathematik, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany; e-mail: leinen@mathematik.uni-mainz.de
ORAZIO PUGLISI
Affiliation:
Dipartimento di Matematica, Università degli Studi di Trento, I-38050 Povo (Trento), Italy; e-mail: puglisi@alpha.science.unitn.it
Get access Rights & Permissions [Opens in a new window]

Abstract

A Lie subalgebra L of [gfr ][lfr ][ ](V) is said to be finitary if it consists of elements of finite rank. We study the situation when L acts irreducibly on the infinite-dimensional vector space V and show: if Char [ ] > 7, then L has a unique minimal ideal I. Moreover I is simple and L/I is solvable.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 129 , Issue 1 , July 2000 , pp. 1 - 8
Copyright
2000 Cambridge Philosophical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)