---
title: "Bibliography"
canonical: "https://docs.magma-maths.org/LieTheory/RootData/bibliography.html"
source: "https://docs.magma-maths.org/LieTheory/RootData/bibliography.md"
part: "Lie Theory"
chapter: "Root Data"
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  - {"title": "Magma Handbook", "source": "../../index.md"}
  - {"title": "Lie Theory", "source": "../index-lie-theory.md"}
  - {"title": "Root Data", "source": "index-root-data.md"}
prev: {"title": "Related Structures", "source": "related-structures.md"}
next: {"title": "Coxeter Groups", "source": "../CoxeterGroups/index-coxeter-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-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-computunipgrps"></a>
- **[CHM08]** Arjeh M. Cohen, Sergei Haller, and Scott H. Murray. Computing in unipotent and reductive algebraic groups. *LMS J. Comput. Math.*, 11:343–366, 2008.
<a id="cite-cohenmurraytaylor"></a>
- **[CMT04]** Arjeh M. Cohen, Scott H. Murray, and D. E. Taylor. Computing in groups of Lie type. *Math. Comp.*, 73(247):1477–1498, 2004.
<a id="cite-demazure"></a>
- **[Dem70]** M. Demazure. Données radicielles. In *Schémas en Groupes III, Exposeé XXI*, volume 153 of Lecture Notes in Mathematics, pages 85–155. Springer-Verlag, Berlin, 1970.
<a id="cite-sh"></a>
- **[Hal05]** Sergei Haller. *Computing Galois Cohomology and Forms of Linear Algebraic Groups*. PhD Thesis, Technical University of Eindhoven, 2005.
<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.
<a id="cite-satake-class"></a>
- **[Sat71]** I. Satake. *Classification theory of semi-simple algebraic groups*. Marcel Dekker Inc., New York, 1971. With an appendix by M. Sugiura, Notes prepared by Doris Schattschneider, Lecture Notes in Pure and Applied Mathematics, 3.
<a id="cite-schattschneider"></a>
- **[Sch69]** Doris J. Schattschneider. On restricted roots of semi-simple algebraic groups. *J. Math. Soc. Japan*, 21:94–115, 1969.