We know that there is a one to one correspondence between Kac-Moody algebras and generalized Cartan matrices. In Kac ("Infinite-Dimensional Lie algebras," 3rd ed., Cambridge Univ. Press, Cambridge, UK, 1990), one can find a way to reconstruct such an algebra as a Lie algebra presented by generators
Classification des formes réelles presque compactes des algèbres de Kac–Moody affines
✍ Scribed by Hechmi Ben Messaoud; Guy Rousseau
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 647 KB
- Volume
- 267
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
✦ Synopsis
Reçu le 5 septembre 2000 Communiqué par J. Tits
Résumé
Real forms of affine Kac-Moody Lie algebras are either almost split or almost compact. Almost split ones have been already classified [J. Algebra 171,. We give here a complete classification of almost compact real forms. Among other results this involves a study à la Borel-Tits of these forms.
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