Standard Lyndon bases of Lie algebras and enveloping algebras

Arun Ram
Department of Mathematics and Statistics
University of Melbourne
Parkville, VIC 3010 Australia
aram@unimelb.edu.au

Last updated: 19 May 2015

This is an excerpt of the paper Standard Lyndon bases of Lie algebras and enveloping algebras by Pierre Lalonde Arun Ram.

The first author's research was supported by FCAR and NSERC grants. The second author's research was partially supported by a National Science Foundation Postdoctoral Fellowship.

References

[Bou1989] N. Bourbaki, Lie groups and Lie algebras, Chapitres 1-3, Springer-Verlag, New York and Berlin, 1989.

[Bou1981] N. Bourbaki, Groupes et algèbres de Lie, Chapt. IV-VI, Masson, Paris (1981).

[Hum1972] J.E. Humphreys, Introduction to Lie algebras and representation theory, Graduate Texts in Math., vol. 40, Springer-Verlag, New York and Berlin, 1972.

[LRa1993] P. Lalonde and A. Ram, Standard Lyndon bases of Lie algebras and enveloping algebras, extended abstract, Posters and Software Demonstrations, Proc. 5th Conf. Formal Power Series and Algebraic Combinatorics, Florence, 1993, pp. 99-104.

[Lot1983] M. Lothaire, Combinatorics on words, Encyclopedia of Math., vol. 17, Addison-Wesley, 1983.

[Reu1993] C. Reutenauer, Free Lie Algebras, London Math. Soc. Monogr. (N.S.), Vol. 7, Oxford Univ. Press, New York, 1993.

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