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)
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