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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.
6
votes
What is known about string functions for $\widehat{\mathfrak{sl}_2}$?
A standard reference is the book Structure of the Standard Modules for the Affine Lie Algebra $A_1^{(1)}$ by J. Lepowski and M. Primc, 1985. I do not have access to it a the moment, and I do not remem …
6
votes
How do I calculate the modular fusion category from a given Lie algebra and level in Chern-S...
I stumbled over this older question. I actually wrote a program, that takes the type of algebra (A,B,...,G), the rank, level, and appropriate root of unity as an input. It uses the associated quantum …