Form of elements of a Lie algebra - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-25T21:55:51Z http://mathoverflow.net/feeds/question/102207 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/102207/form-of-elements-of-a-lie-algebra Form of elements of a Lie algebra Francesco 2012-07-14T07:33:42Z 2012-07-15T00:48:25Z <p>How we can write the elements of a free Lie algebra? Is there any reference concerning about this subject? yours,</p> <p>Francesco.</p> http://mathoverflow.net/questions/102207/form-of-elements-of-a-lie-algebra/102211#102211 Answer by Bruce Westbury for Form of elements of a Lie algebra Bruce Westbury 2012-07-14T08:20:16Z 2012-07-14T13:46:00Z <p>The key words are "Lyndon words". A reference is Free Lie Algebras by C. Reutenauer.</p> http://mathoverflow.net/questions/102207/form-of-elements-of-a-lie-algebra/102266#102266 Answer by AlexArvanitakis for Form of elements of a Lie algebra AlexArvanitakis 2012-07-15T00:48:25Z 2012-07-15T00:48:25Z <p>"Lie Algebras: Theory and Algorithms" by Willem A. De Graaf has a chapter dealing with the more general problem of explicit construction of a basis of a finitely presented Lie algebra (free Lie algebra modulo an ideal), perhaps it is what you are looking for.</p>