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Results tagged with lie-algebras
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user 5705
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.
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What's the name of an algebra? is it isomorphic to $w_\infty \times w_\infty$?
Just as we know,
$w_\infty$:=span {${z^\alpha }\partial _z^\beta|\alpha,\beta\in\mathbb{Z}, \beta\geq0$ }.
But, what's the name of the following algebra,
span {$\{{z^{\alpha_1}}{y^{\alpha_2}}\partial …
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