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Results tagged with lie-algebras
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user 13215
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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Classification of modules all whose weight spaces are $1$-dimensional
The following result of Howe [Perspectives on invariant theory: Schur duality, multiplicity-free actions and beyond] answers this completely:
Let $\mathfrak{g}$ be a finite-dimensional simple complex …
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