Polycyclic restricted Lie algebras

Authors
Passman, DS Petrogradsky, VM
Citation
Ds. Passman et Vm. Petrogradsky, Polycyclic restricted Lie algebras, COMM ALGEB, 29(9), 2001, pp. 3829-3838
Citations number
11
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN ALGEBRA
ISSN journal
00927872 → ACNP
Volume
29
Issue
9
Year of publication
2001
Pages
3829 - 3838
Database
ISI
SICI code
0092-7872(2001)29:9<3829:PRLA>2.0.ZU;2-Y
Abstract
We define a polycyclic restricted Lie algebra to be the Lie analog of a pol ycyclic group, and we describe the structure of poly(cyclic or finite-dimen sional) restricted Lie algebras. In particular, we prove that these are pre cisely the restricted Lie algebras whose restricted enveloping algebras hav e polynomial growth.