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Results tagged with lie-algebras
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user 9962
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.
5
votes
Lie algebras to classify Lie groups
Here is an answer from a different point of view: every connected Lie group is almost a semidirect product of a semisimple Lie group (Levi factor) and a connected solvable normal Lie subgroup (its sol …
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0
votes
Realizing higher level Fock spaces
Representation theory of direct limit Lie algebras (like $\mathfrak{gl}_\infty$) has been studied extensively by Dimitrov, Penkov, and Styrkas. You can find their papers on the arXiv.
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