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Reflection Groups and Coxeter Groups
Language: en
Pages: 222
Authors: James E. Humphreys
Categories: Mathematics
Type: BOOK - Published: 1992-10 - Publisher: Cambridge University Press

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This graduate textbook presents a concrete and up-to-date introduction to the theory of Coxeter groups. The book is self-contained, making it suitable either fo
Finite Reflection Groups
Language: en
Pages: 142
Authors: L.C. Grove
Categories: Mathematics
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

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Chapter 1 introduces some of the terminology and notation used later and indicates prerequisites. Chapter 2 gives a reasonably thorough account of all finite su
The Geometry and Topology of Coxeter Groups
Language: en
Pages: 601
Authors: Michael Davis
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: Princeton University Press

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The Geometry and Topology of Coxeter Groups is a comprehensive and authoritative treatment of Coxeter groups from the viewpoint of geometric group theory. Group
Reflection Groups and Invariant Theory
Language: en
Pages: 382
Authors: Richard Kane
Categories: Mathematics
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

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Reflection groups and invariant theory is a branch of mathematics that lies at the intersection between geometry and algebra. The book contains a deep and elega
Mirrors and Reflections
Language: en
Pages: 172
Authors: Alexandre V. Borovik
Categories: Mathematics
Type: BOOK - Published: 2009-11-07 - Publisher: Springer Science & Business Media

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This graduate/advanced undergraduate textbook contains a systematic and elementary treatment of finite groups generated by reflections. The approach is based on