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Lectures on Real Semisimple Lie Algebras and Their Representations

  • Arkady L. Onishchik

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