Versal deformation of the Lie algebra L-2

Authors
Fialowski, A Post, G
Citation
A. Fialowski et G. Post, Versal deformation of the Lie algebra L-2, J ALGEBRA, 236(1), 2001, pp. 93-109
Citations number
7
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF ALGEBRA
ISSN journal
00218693 → ACNP
Volume
236
Issue
1
Year of publication
2001
Pages
93 - 109
Database
ISI
SICI code
0021-8693(20010201)236:1<93:VDOTLA>2.0.ZU;2-N
Abstract
We investigate deformations of the infinite-dimensional vector-field Lie al gebra spanned by the fields e(i) = z(i+1)d/dz, where i greater than or equa l to 2. The goal is to describe the base of a "versal" deformation; such a versal deformation induces all the other nonequivalent deformations and sol ves the deformation problem completely. (C) 2001 Academic Press.