---
title: "Bibliography"
canonical: "https://docs.magma-maths.org/LieTheory/CoxeterGroups/bibliography.html"
source: "https://docs.magma-maths.org/LieTheory/CoxeterGroups/bibliography.md"
part: "Lie Theory"
chapter: "Coxeter Groups"
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  - {"title": "Coxeter Groups", "source": "index-coxeter-groups.md"}
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next: {"title": "Reflection Groups", "source": "../ReflectionGroups/index-reflection-groups.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-brink98"></a>
- **[Bri98]** Brigitte Brink. The set of dominance-minimal roots. *J. Algebra*, 206(2):371–412, 1998.
<a id="cite-brinkhowlett93"></a>
- **[BH93]** Brigitte Brink and Robert B. Howlett. A finiteness property and an automatic structure for Coxeter groups. *Math. Ann.*, 296(1):179–190, 1993.
<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-carter-big"></a>
- **[Car93]** Roger W. Carter. *Finite groups of Lie type*. John Wiley & Sons, Chichester, 1993. ISBN 0-471-94109-3. Conjugacy classes and complex characters, Reprint of the 1985 original, A Wiley-Interscience Publication.
<a id="cite-deodhar"></a>
- **[Deo77]** V.V. Deodhar. Some Characteristics of Bruhat Ordering on a Coxeter group and determination of the Relative Möbius Function. *Inventiones Math.*, 39:179–198, 1977.
<a id="cite-chevie"></a>
- **[GHL+96]** Meinolf Geck, Gerhard Hiss, Frank Lübeck, Gunter Malle, and Götz Pfeiffer. CHEVIE—a system for computing and processing generic character tables. *Appl. Algebra Engrg. Comm. Comput.*, 7(3):175–210, 1996. Computational methods in Lie theory (Essen, 1994).
<a id="cite-geckpfeiffer"></a>
- **[GP00]** Meinolf Geck and Götz Pfeiffer. *Characters of finite Coxeter groups and Iwahori-Hecke algebras*. Volume 21 of London Mathematical Society Monographs. New Series. The Clarendon Press Oxford University Press, New York, 2000. ISBN 0-19-850250-8.
<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-papi"></a>
- **[Pap94]** Paolo Papi. A characterization of a special ordering in a root system. *Proc. Amer. Math. Soc.*, 120(3):661–665, 1994.