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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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Roots of exceptional complex reflection groups
I am looking to do a case-by-case check of a conjecture I have about Shephard groups, which are a subclass of complex reflection groups. These were classified by Shephard and Todd and there is one inf …
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Representation Theory of $U(N)$
Regarding (2): In the context of rational complex representations of $GL_n$ vs those of $SL_n$, your extra factor is accounted for by the determinant. Given a rational representation of $GL_n$, $V$, i …