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

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

Samenvatting

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.

Originele taal-2	Engels
Pagina's (van-tot)	117-122
Tijdschrift	Theoretical Computer Science
Volume	187
Nummer van het tijdschrift	1-2
DOI's	https://doi.org/10.1016/S0304-3975(97)00060-1
Status	Gepubliceerd - 1997

Toegang tot document

10.1016/S0304-3975(97)00060-1

Citeer dit

@article{a83df128a7624d938567c68431e8e919,

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.",

author = "\{Graaf, de\}, W.A.",

year = "1997",

doi = "10.1016/S0304-3975(97)00060-1",

language = "English",

volume = "187",

pages = "117--122",

journal = "Theoretical Computer Science",

issn = "0304-3975",

publisher = "Elsevier B.V.",

number = "1-2",

}

TY - JOUR

T1 - An algorithm for the decomposition of semisimple Lie algebras

AU - Graaf, de, W.A.

PY - 1997

Y1 - 1997

N2 - 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.

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.

U2 - 10.1016/S0304-3975(97)00060-1

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

M3 - Article

SN - 0304-3975

VL - 187

SP - 117

EP - 122

JO - Theoretical Computer Science

JF - Theoretical Computer Science

IS - 1-2

ER -

An algorithm for the decomposition of semisimple Lie algebras

Samenvatting

Toegang tot document

Vingerafdruk

Citeer dit