Invariants of solvable rigid Lie algebras up to dimension 8

被引：22

作者：

Campoamor-Stursberg, R ^{[1
]}

机构：

[1] Univ Complutense Madrid, Fac CC Matemat, Dept Geometria & Topol, E-28040 Madrid, Spain

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2002年 / 35卷 / 30期

关键词：

D O I：

10.1088/0305-4470/35/30/307

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The invariants of all complex solvable rigid Lie algebras up to dimension 8 are computed. Moreover we show, for rank 1 solvable algebras, some criteria to deduce the non-existence of nontrivial invariants or the existence of fundamental sets of invariants formed by rational functions of the Casimir invariants of the associated nilradical.

引用

页码：6293 / 6306

页数：14

共 26 条

[1] GENERAL SETTING FOR CASIMIR INVARIANTS
ABELLANAS, L
MARTINEZALONSO, L
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1975, 16 (08) : 1580 - 1584
[2] ANGELOPOULOS E, 1967, CR ACAD SCI A MATH, V264, P585
[3] ON NUMBER OF CASIMIR OPERATORS ASSOCIATED WITH ANY LIE GROUP
BELTRAMETTI, EG
BLASI, A
[J]. PHYSICS LETTERS, 1966, 20 (01): : 62 - +
[4] Bermúdez JMA, 2001, COMMUN ALGEBRA, V29, P427
[5] On the nonrationality of rigid Lie algebras
Bermudez, JMA
Goze, M
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 127 (09) : 2611 - 2618
[6] BERMUDEZ JMA, 1992, COMMUN ALGEBRA, V20, P875
[7] BERMUDEZ JMA, 2001, ALGEBRAS GROUPS GEOM, V18, P393
[8] ON CERTAIN CLASSES OF RIGID LIE-ALGEBRAS
CARLES, R
[J]. MATHEMATISCHE ANNALEN, 1985, 272 (04) : 477 - 488
[9] THE STRUCTURE OF RIGID LIE-ALGEBRAS
CARLES, R
[J]. ANNALES DE L INSTITUT FOURIER, 1984, 34 (03) : 65 - 82
[10] Casimir H, 1931, P K AKAD WET-AMSTERD, V34, P844

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