EXPLICIT BETTI NUMBERS FOR A FAMILY OF NILPOTENT LIE-ALGEBRAS

Citation
Gf. Armstrong et al., EXPLICIT BETTI NUMBERS FOR A FAMILY OF NILPOTENT LIE-ALGEBRAS, Proceedings of the American Mathematical Society, 125(2), 1997, pp. 381-385
Citations number
5
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
ISSN journal
00029939
Volume
125
Issue
2
Year of publication
1997
Pages
381 - 385
Database
ISI
SICI code
0002-9939(1997)125:2<381:EBNFAF>2.0.ZU;2-0
Abstract
Betti numbers for the Heisenberg Lie algebras were calculated by Santh aroubane in his 1983 paper. However few other examples have appeared i n the literature. In this note we give the Betti numbers for a family of (2n+1)-dimensional 2-step nilpotent extensions of R by R(2n).