An Introduction to Kac–Moody Groups over Fields

  • Timothée Marquis

    Université Catholique de Louvain, Louvain-la-Neuve, Belgium
An Introduction to Kac–Moody Groups over Fields cover

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FrontmatterDownload pp. i–v
PrefaceDownload pp. vii–viii
ContentsDownload pp. ix–xi
IntroductionDownload pp. 1–11
Part I A few words on the classical Lie theoryp. 13
1From Lie groups to Lie algebraspp. 15–17
2Finite-dimensional (real or complex) Lie algebraspp. 19–34
Part II Kac–Moody algebrasp. 35
3Basic definitionspp. 37–55
4TheWeyl group of a Kac–Moody algebrapp. 57–74
5Kac–Moody algebras of finite and affine typepp. 75–88
6Real and imaginary rootspp. 89–96
Part III Kac–Moody groupsp. 97
PrologueDownload p. 99
7Minimal Kac–Moody groupspp. 101–171
8Maximal Kac–Moody groupspp. 173–268
9Loose endspp. 269–276
AGroup schemespp. 277–287
BBuildings and BN-pairspp. 289–314
Bibliographypp. 315–320
Indexpp. 321–323
Index of symbolspp. 325–331