---
title: "Bibliography"
canonical: "https://docs.magma-maths.org/LieTheory/ReflectionGroups/bibliography.html"
source: "https://docs.magma-maths.org/LieTheory/ReflectionGroups/bibliography.md"
part: "Lie Theory"
chapter: "Reflection Groups"
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  - {"title": "Magma Handbook", "source": "../../index.md"}
  - {"title": "Lie Theory", "source": "../index-lie-theory.md"}
  - {"title": "Reflection Groups", "source": "index-reflection-groups.md"}
prev: {"title": "Related Structures", "source": "related.md"}
next: {"title": "Lie Algebras", "source": "../LieAlgebras/index-lie-algebras.md"}
---

# Bibliography

<a id="cite-bourbakilie"></a>
- **[Bou68]** N. Bourbaki. *Éléments de mathématique. Fasc. XXXIV. Groupes et algèbres de Lie. Chapitre IV: Groupes de Coxeter et systèmes de Tits. Chapitre V: Groupes engendrés par des réflexions. Chapitre VI: Systèmes de racines*. Hermann, Paris, 1968.
<a id="cite-broue"></a>
- **[Bro10]** M. Broué. *Introduction to Complex Reflection Groups and their Braid Groups*. Volume 1988 of Lecture Notes in Mathematics. Springer-Verlag, Berlin, 2010.
<a id="cite-carter-small"></a>
- **[Car72b]** Roger W. Carter. *Simple groups of Lie type*. John Wiley & Sons, London-New York-Sydney, 1972. Pure and Applied Mathematics, Vol. 28.
<a id="cite-cohen76"></a>
- **[Coh76]** Arjeh M. Cohen. Finite complex reflection groups. *Ann. Sci. École Norm. Sup. (4)*, 9(3):379–436, 1976.
<a id="cite-humphreysrefl"></a>
- **[Hum90]** James E. Humphreys. *Reflection groups and Coxeter groups*. Volume 29 of Cambridge Studies in Advanced Mathematics. Cambridge University Press, Cambridge, 1990. ISBN 0-521-37510-X.
<a id="cite-kanerefl"></a>
- **[Kan01]** Richard Kane. *Reflection Groups and Invariant Theory*. Volume 5 of CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC. Springer-Verlag, New York, 2001. ISBN 0-387-98979-X.
<a id="cite-lehrertaylor"></a>
- **[LT09]** G. I. Lehrer and D. E. Taylor. *Unitary Reflection Groups*. Volume 20 of Australian Mathematical Society Lecture Series. Cambridge University Press, Cambridge, 2009.
<a id="cite-shephardtodd54"></a>
- **[ST54]** G. C. Shephard and J. A. Todd. Finite unitary reflection groups. *Canadian J. Math.*, 6:274–304, 1954.