Preprint No. A-04-04

Evelyn Weimar-Woods

The general structure of $G$-graded contractions of Lie Algebras. I: The classification

Abstract: We give the general structure of complex (resp.real) $G$-graded contractions of Lie algebras where $G$ is an arbitrary finite Abelian group. For this purpose, we introduce a number of concepts such as pseudobasis, higher-order identities, and sign invariants. We characterize the equivalence classes of $G$-graded contractions by showing that our set of invariants (support, higher-order identities, and sign invariants) is complete, which yields a classification.

Keywords: Green current, Kähler manifold, intersection theory, heat kernel

Mathematics Subject Classification (MSC2000): 17B05, 17B81

Language: ENG

Available: Pr-A-04-04.ps, Pr-A-04-04.ps.gz (to be published in: "Canadian Journal of Mathematics")

Contact: Evelyn Weimar-Woods, Freie Universität Berlin, Fachbereich Mathematik und Informatik, Arnimallee 2-6, D-14195 Berlin, Germany (weimar@math.fu-berlin.de)

[Home Page] - [Up] - [Search] - [Help] - Created: 20041011 -