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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.
3
votes
Dimension of $\mathfrak{sl}_n$ modules
It is quite possible formulas exist or can be found. I don't know of any off the top of my head, but I know that it amounts to counting semistandard tableaux. I do not know of a formula for this numbe …
6
votes
Accepted
"Quantum Littlewood-Richardson" Rule?
Yes, there certainly is a quantum version of the Littlewood-Richardson decomposition (in the generic parameter case) for types $A,B,C,D$ (I don't know about the exceptional types). The generalized Lit …