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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| 格式: | 文件 |
| 语言: | English |
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Vladimir Andrunachievici Institute of Mathematics and Computer Science
2000-05-01
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| 丛编: | Computer Science Journal of Moldova |
| 在线阅读: | http://www.math.md/nrofdownloads.php?file=/files/csjm/v8-n1/v8-n1-(pp16-41).pdf |
| 总结: | 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 (containing the standard Cartan subalgebra) by computational methods. |
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| ISSN: | 1561-4042 |