On the length of the spectral sequence of a Lie algebra extension

Authors
Barnes, DW
Citation
Dw. Barnes, On the length of the spectral sequence of a Lie algebra extension, P AM MATH S, 129(2), 2000, pp. 347-350
Citations number
5
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
129
Issue
2
Year of publication
2000
Pages
347 - 350
Database
ISI
SICI code
0002-9939(2000)129:2<347:OTLOTS>2.0.ZU;2-6
Abstract
The length of the spectral sequence of a Lie algebra extension is at most 1 + the dimension of the quotient algebra. We show that this bound can be att ained for arbitrarily large quotient algebras even when the algebra is nilp otent and the extension splits.