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Results tagged with lie-algebras
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user 51424
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.
7
votes
Why should affine lie algebras and quantum groups have equivalent representation theories?
(Written on my phone - apologies for any typos.)
A few comments:
a) First, as to the source of the braided monoidal structure on the Kazhdan-Lusztig category. The category of integrable affine Lie …
- 5,958
6
votes
Universal enveloping algebra and the algebra of invariant differential operators
From the Lie algebra inclusion $\mathfrak{g}\rightarrow \Gamma(T_G)$ of right invariant vector fields we get a map $U(\mathfrak{g})\rightarrow\Gamma(\mathcal{D}_G).$ This induces a map $U(\mathfrak{g} …
- 5,958