Volume no :2, Issue no: 1, September (2009)

ON CERTAIN TWO-STEP NILPOTENT LIE ALGEBRAS

Author's: Hamid-Reza Fanaï
Pages: [43] - [50]
Received Date: September 22, 2009
Submitted by:

Abstract

In [10], as an application of results from geometric invariant theory, it is shown that a two-step nilpotent Lie algebra associated with a graph is an Einstein nilradical, if and only if the graph is positive. In this note, we give a more elementary proof of this result using the notion of pre-Einstein derivation and some of its properties developed in [11].

Keywords

Einstein solvmanifold, Einstein nilradical.