Metric Lie algebras and quadratic extensions

Transformation Groups

Volumn 11, Issue 1, 2006, Pages 87-131

  Kath, I ^a   Olbrich, M ^b  

^a MAX PLANCK INSTITUTE FOR MATHEMATICS IN THE SCIENCES   (Germany)

^b UNIVERSITY OF GÖTTINGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33645581061     PISSN: 10834362     EISSN: 1531586X     Source Type: Journal    
DOI: 10.1007/s00031-005-1106-5     Document Type: Article

References (14)

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3. [BB1] L. Berard Bergery. Decomposition de Jordan-Holder d'une représentation de dimension finie, adaptée à une forme réflexive, handwritten notes.
4. [BB2] L. Berard Bergery, Structure, des espaces symetriques pseudo-riemanniens. handwritten notes.
5. [Bor 97] M. Bordemann, Nortdegenerate invariant bilinear forms on nonassociative algebras. Acta Math. Univ. Comenian. 66 (1997), 151-201.
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7. [CP 80] M. Gahen, M. Parker. Pseudo-Riemannian Symmetric Spaces. Mem. Am. Math. Soe. 24 (1980), No. 229, iv+108 pp.
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10. [KO 04] I. Kath, M. Olbrich, Metric Lie algebras with maximal isotropic centre, Math. Z. 246 (2004), 23-53.
11. [KO 04a] I. Kath, M. Olbrich. On the structure of pseudo-riemanniart symmetric spaces, preprint, 2004. arXiv:math.DG/0408249: also available as preprint No. 54/2004 MPI MiS. Leipzig.
12. [M 85] A. Medina, Groupes de Lie munis de métriques bi-invariantes, Tohoku Math. J. (2) 37 (1985). 405-421.
13. [MR 85] A. Medina, Ph. Revoy, Algébres de Lie et produit scalaire invariant, Ann. Sci. École Norm. Sup. (4) 18 (1985), 553-561.
14. [N 03] Th. Neukirchner, Solvable pseudo-riemanrtian symmetric spaces. 2003, arXiv : math. DG/0301326.