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Lie algebras are algebraic structures which were introduced to study the concept of infinitesimal transformations. The term "Lie algebra" (after Sophus Lie) was introduced by Hermann Weyl in the 1930s. In older texts, the name "infinitesimal group" is used. Related mathematical concepts include Lie groups and differentiable manifolds.

3 votes
1 answer
256 views

Computation of Hall basis

I am looking for a program that for a given word in a free Lie algebra calculate the coefficients of the word with respect to the Hall basis. Can you suggest me a program? Thanks
MO B's user avatar
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3 votes
1 answer
493 views

Lyndon words and Hall basis

I am looking for an algorithm to produce Hall basis from Lyndon words. First I will recall the definition of the Hall set following Serre's presentation. Let $X$ be a finite set and let $M(X)$ be th …
MO B's user avatar
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