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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.

20 votes
2 answers
5k views

How to interpret the Sugawara construction from a physical or mathematical viewpoint?

In theoretical physics, the Sugawara theory is a set of formulae and theorems that allow one to construct a stress-energy tensor of a specific type of conformal field theory from a bilinear expression …
Xuexing Lu's user avatar
6 votes
3 answers
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What is the relation between characters of a group and its lie algebra?

What is the relation between characters of a group and its lie algebra? Roughly,I know that there is a one to one correspondence between representations of a lie algebra and its simple connected lie …
Xuexing Lu's user avatar