A Lie algebra is said to be split graded if it is graded by a torsion free abelian group Q in such a way that the subalgebra 0 is abelian and the operators ad 0 are diagonalized by the grading. The elements of Q \ 0 with α = 0 are called roots and a root α is said to be integrable if there are root
✦ LIBER ✦
On Integrable roots in split Lie triple systems
✍ Scribed by A. J. Calderón Martín
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2009
- Tongue
- English
- Weight
- 291 KB
- Volume
- 25
- Category
- Article
- ISSN
- 1439-7617
No coin nor oath required. For personal study only.
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Lie triple system T over a field F of characteristic zero. It turns out that it contains nontrivial elements if and only if T is related to a simple Jordan algebra. In particular this provides a new proof of the determination by Laquer of the invariant affine connections in the simply connected com