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Results tagged with lie-algebras
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user 16852
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.
4
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Accepted
Euler-Poincaré equations with constraints
Generally no. The Euler-Poincaré equation derives all of its structure from the Lie bracket, and an arbitrary constraint does not respect this structure. The most simple counter-example is probably a …
- 614
0
votes
Lie algebra version of principal bundle?
Building upon Peter's answer, An Atiyah algebroid, or transitive Lie algebroid is one answer to your question.
- 614