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Zbl 0983.17001
Bourbaki, Nicolas
Elements of mathematics. Lie groups and Lie algebras. Chapters 4--6. Transl. from the French by Andrew Pressley. (English)
[B] Berlin: Springer. xi, 300 p. EUR 99.95/net; sFr. 165.50; \sterling 70.00; \$ 109.00 (2002). ISBN 3-540-42650-7/hbk

This book is an English translation of the classical volume initially published in French (1968; Zbl 0186.33001) and reviewed by E. Abe. A translation into Russian has also been published. Contents: Chapter 4: Coxeter groups and Tits systems. Chapter 5: Groups generated by reflections. Chapter 6: Root systems.\par For Chapters 1-3 (Springer 1998) see Zbl 0904.17001.
[A.Akutowicz (Berlin)]

MSC 2000:: *17-02 Research monographs (nonassoc. rings and algebras)
22-02 Research monographs (topological groups)
22E10 General properties and structure of complex Lie groups
22E15 General properties and structure of real Lie groups
22E60 Lie algebras of Lie groups
17B20 Simple and semisimple Lie algebras
20E42 Groups with a BN-pair; buildings
20F55 Coxeter groups
51F15 Reflection groups and geometries

Keywords: semisimple Lie algebras; Weyl groups; root systems; Coxeter groups; Tits systems; reflection groups

Citations: Zbl 0186.33001; Zbl 0249.22001; Zbl 0483.22001; Zbl 0904.17001

Cited in: Zbl 1211.20035 Zbl 1145.17002 Zbl 1145.17001 Zbl 1120.17002 Zbl 1139.17002

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