An algorithm for the decomposition of semisimple Lie algebras

W.A. Graaf, de

doi:10.1016/S0304-3975(97)00060-1

An algorithm for the decomposition of semisimple Lie algebras

W.A. Graaf, de

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We consider the problem of decomposing a semisimple Lie algebra defined over a field of characteristic zero as a direct sum of its simple ideals. The method is based on the decomposition of the action of a Cartan subalgebra. An implementation of the algorithm in the system ELIAS is discussed at the end of the paper.

Original language	English
Pages (from-to)	117-122
Journal	Theoretical Computer Science
Volume	187
Issue number	1-2
DOIs	https://doi.org/10.1016/S0304-3975(97)00060-1
Publication status	Published - 1997

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title = "An algorithm for the decomposition of semisimple Lie algebras",

abstract = "We consider the problem of decomposing a semisimple Lie algebra defined over a field of characteristic zero as a direct sum of its simple ideals. The method is based on the decomposition of the action of a Cartan subalgebra. An implementation of the algorithm in the system ELIAS is discussed at the end of the paper.",

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AB - We consider the problem of decomposing a semisimple Lie algebra defined over a field of characteristic zero as a direct sum of its simple ideals. The method is based on the decomposition of the action of a Cartan subalgebra. An implementation of the algorithm in the system ELIAS is discussed at the end of the paper.

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DO - 10.1016/S0304-3975(97)00060-1

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EP - 122

JO - Theoretical Computer Science

JF - Theoretical Computer Science

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An algorithm for the decomposition of semisimple Lie algebras

Abstract

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