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Results tagged with lie-algebras
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user 12482
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
votes
Commutator formulas in a universal enveloping algebra
This is probably not yet a final answer but may shine some additional light on the problem:
For simplicity, I assume that $L$ is finite-dimensional and defined over the reals (for some other field of …
- 8,098
3
votes
A Lie group whose Lie algebra is equal to (the Lie algebra? of )all functions with fibrewise...
The following will only deal with the Lie algebra, the question about the Lie group is far beyond my capabilities.
The symplectic structure is (I guess) the one coming from the musical isomorphism of …
- 8,098
15
votes
Relationship between "different" quantum deformations
This is not at all an innocent question as there are really many notions of "quantizing stuff" around. A systematic comparison is probably not available (yet) for several reasons. Let me just try to i …
- 8,098