TY - THES
DO - 10.5075/epfl-thesis-144
AB - Let g be a nilpotent Lie algebra (of finite dimension n over an algebraically closed field of characteristic zero) and let Der(g) be the algebra of derivations of g. The system of weights of g is defined as being that of the standard representation of a "maximal torus" in Der(g). For a fixed integer n, it is well-known that there are in general uncountably many isomorphism classes of nilpotent Lie algebra of dimension n; but we show that there are finitely many systems of weights, and each of them is explicitely constructed. The class of those Lie algebras having a given (arbitrary) system of weights is also studied. The first chapter is a setting for the study of nilpotent Lie algebras, used to prove some general theorems. In the second chapter, attention is restricted to a class of nilpotent Lie algebras for which our setting is particularly well adapted.
T1 - Système de poids sur une algèbre de Lie nilpotente
DA - 1973
AU - Favre, Gabriel
PB - s.n.
PP - S.l.
LA - fre
ID - 30627
UR - http://infoscience.epfl.ch/record/30627/files/EPFL_TH144.pdf
ER -