On the module structure of free Lie algebras

Authors
Bryant, RM Stohr, R
Citation
Rm. Bryant et R. Stohr, On the module structure of free Lie algebras, T AM MATH S, 352(2), 2000, pp. 901-934
Citations number
15
Categorie Soggetti
Mathematics
Journal title
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029947 → ACNP
Volume
352
Issue
2
Year of publication
2000
Pages
901 - 934
Database
ISI
SICI code
0002-9947(200002)352:2<901:OTMSOF>2.0.ZU;2-B
Abstract
We study the free Lie algebra L over a field of non-zero characteristic p a s a module for the cyclic group of order p acting on L by cyclically permut ing the elements of a free generating set. Our main result is a complete de composition of L as a direct sum of indecomposable modules.