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Leibniz Algebras Graded by Finite Root Systems

arXiv:math/0510545

Abstract

There are several researches on Lie algebras and Lie superalgebras graded by finite root systems. In this paper, we study Leibniz algebras graded by finite root systems and obtain some results in simply-laced cases.

Latex, 17 pages, to appear in Algebra Colloquium 2009