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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.
2
votes
Accepted
Openly available software to work with Demazure modules
> bash-3.2$ LiE
>
> LiE version 2.2.2 created on Oct 22 2018 at 11:36:00 Authors: Arjeh M.
> Cohen, Marc van Leeuwen, Bert Lisser. Purpose: development CWI
>
>
> type '?help' for help information t …
4
votes
Are the Weyl modules projectives?
There is actually a mildly interesting category in which a given Weyl module is projective.
The simplest Weyl module is one dimensional with trivial action. So in that case the category has to have tr …