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Elements of mathematics. Lie groups and Lie algebras. Chapters 4–6. Transl. from the French by Andrew Pressley. (English) Zbl 0983.17001
Berlin: Springer. xi, 300 p. (2002).
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.
For Chapters 1-3 (Springer 1998) see Zbl 0904.17001.

MSC:
17-02 Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras
22-02 Research exposition (monographs, survey articles) pertaining to 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, semisimple, reductive (super)algebras
20E42 Groups with a \(BN\)-pair; buildings
20F55 Reflection and Coxeter groups (group-theoretic aspects)
51F15 Reflection groups, reflection geometries
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