Lectures on Real Semisimple Lie Algebras and Their Representations
Arkady L. Onishchik
Yaroslavl State University, Russia
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| FrontmatterDownload pp. i–iv | |
| ContentsDownload p. v | |
| IntroductionDownload pp. vii–ix | |
| 1 | Preliminariespp. 1–11 |
| 2 | Complexification and real formspp. 12–19 |
| 3 | Real forms and involutive automorphismspp. 20–26 |
| 4 | Automorphisms of complex semisimple Lie algebraspp. 27–35 |
| 5 | Cartan decompositions and maximal compact subgroupspp. 36–43 |
| 6 | Homomorphisms and involutions of complex semisimple Lie algebraspp. 44–49 |
| 7 | Inclusions between real forms under an irreducible representationpp. 50–63 |
| 8 | Real representations of real semisimple Lie algebraspp. 64–72 |
| 9 | Appendix on Satake diagramspp. 73–76 |
| Tablespp. 77–82 | |
| Referencesp. 83 | |
| Subject Indexpp. 84–86 |