---
title: "Bibliography"
canonical: "https://docs.magma-maths.org/LieTheory/LieAlgebras/bibliography.html"
source: "https://docs.magma-maths.org/LieTheory/LieAlgebras/bibliography.md"
part: "Lie Theory"
chapter: "Lie Algebras"
breadcrumbs:
  - {"title": "Magma Handbook", "source": "../../index.md"}
  - {"title": "Lie Theory", "source": "../index-lie-theory.md"}
  - {"title": "Lie Algebras", "source": "index-lie-algebras.md"}
prev: {"title": "Nilpotent Orbits in Simple Lie Algebras", "source": "nilpotent-orbits.md"}
next: {"title": "Kac-Moody Lie Algebras", "source": "../KacMoodyLieAlgebras/index-kac-moody-lie-algebras.md"}
---

# Bibliography

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- **[CM09]** Arjeh M. Cohen and Scott H. Murray. An algorithm for Lang's Theorem. *Journal of Algebra*, 322:675–702, 2009.
<a id="cite-cohenroozemond2009"></a>
- **[CR09]** Arjeh M. Cohen and Dan Roozemond. Computing Chevalley bases in small characteristics. *J. Algebra*, 322(3):703–721, August 2009.
<a id="cite-csuw01"></a>
- **[CSUW01]** Arjeh M. Cohen, Anja Steinbach, Rosane Ushirobira, and David Wales. Lie algebras generated by extremal elements. *J. Algebra*, 236(1):122–154, 2001.
<a id="cite-colmcgov"></a>
- **[CM93]** David H. Collingwood and William M. McGovern. *Nilpotent orbits in semisimple Lie algebras*. Van Nostrand Reinhold Mathematics Series. Van Nostrand Reinhold Co., New York, 1993.
<a id="cite-wdg-slac"></a>
- **[dG05]** W. A. de Graaf. Classification of solvable Lie algebras. *Experimental Mathematics*, 14(1):15–25, 2005.
<a id="cite-wdg-nlac"></a>
- **[dG07]** W. A. de Graaf. Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2. *Journal of Algebra*, 309(2):640–653, 2007.
<a id="cite-wdg-lie-alg"></a>
- **[dG00]** W.A. de Graaf. *Lie Algebras: Theory and Algorithms*. Number 56 in North-Holland Mathematical Library. Elsevier, 2000.
<a id="cite-wdg-sssdb"></a>
- **[dG11]** Willem A. de Graaf. Constructing semisimple subalgebras of semisimple Lie algebras. *J. Algebra*, 325:416–430, 2011.
<a id="cite-hogeweij82"></a>
- **[Hog82]** G. M. D. Hogeweij. Almost-classical Lie algebras. I, II. *Nederl. Akad. Wetensch. Indag. Math.*, 44(4):441–452, 453–460, 1982.
<a id="cite-jacobson-lie-alg"></a>
- **[Jac62b]** N. Jacobson. *Lie algebras*. Interscience Tracts in Pure and Applied Mathematics, No. 10. Interscience Publishers New York-London, 1962.
<a id="cite-kostant66"></a>
- **[Kos66]** B. Kostant. Groups over $Z$. In *Algebraic Groups and Discontinuous Subgroups (Proc. Sympos. Pure Math., Boulder, Colo., 1965)*, pages 90–98. Amer. Math. Soc., Providence, R.I., 1966.
<a id="cite-roozemond2010"></a>
- **[Roo10]** D.A. Roozemond. *Algorithms for Lie algebras of algebraic groups*. PhD thesis, Technische Universiteit Eindhoven, 2010.
<a id="cite-roozemond11"></a>
- **[Roo11]** Dan Roozemond. On Lie algebras generated by few extremal elements. *J. Algebra*, 348:462–476, 2011.
<a id="cite-str2004"></a>
- **[Str04]** Helmut Strade. *Simple Lie algebras over fields of positive characteristic. I*. Volume 38 of de Gruyter Expositions in Mathematics. Walter de Gruyter & Co., Berlin, 2004. ISBN 3-11-014211-2. Structure theory.
<a id="cite-str-frn88"></a>
- **[SF88]** Helmut Strade and Rolf Farnsteiner. *Modular Lie algebras and their representations*. Volume 116 of Monographs and Textbooks in Pure and Applied Mathematics. Marcel Dekker Inc., New York, 1988. ISBN 0-8247-7594-5.
<a id="cite-zk90"></a>
- **[ZK90]** E.I. Zel$'$manov and A.I. Kostrikin. A theorem on sandwich algebras. *Trudy Mat. Inst. Steklov.*, 183:106–111, 225, 1990. Translated in Proc. Steklov Inst. Math. 1991, no. 4, 121–126, Galois theory, rings, algebraic groups and their applications (Russian).