Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 102 / 1 / a

Table of contents
- Solution a

Solution

The Adjoint representation of a Lie algebra is

ad : g ⟶ gl (g), ad_{x} (y) = [x, y] .

The Killing form is the symmetric invariant bilinear form

κ (x, y) = tr (ad_{x} ad_{y}) .

Solved by gpt-5.6-sol high.

 Ancestors (10)

 View article source

 Discussion (0)

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.

  See all articles in the same topic Create my own version