On the existence of orthogonal decompositions of the simple Lie algebra of type C3

Orthogonal decompositions (OD:s) that are monomial have been constructed for most simple Lie algebras but in some cases the existence of an OD is still an open question. One such case is Lie algebras of type Cn where n is not a power of 2. In this paper we prove that C3 has no monomial OD (containin...

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Bibliographic Details
Main Author: A.Torstensson
Format: Article
Language:English
Published: Institute of Mathematics and Computer Science of the Academy of Sciences of Moldova 2000-05-01
Series:Computer Science Journal of Moldova
Online Access:http://www.math.md/nrofdownloads.php?file=/files/csjm/v8-n1/v8-n1-(pp16-41).pdf