List questions from semisimple-lie-algebras | MathQa

Does a linear semisimple Lie group have only finitely many connected components?

Published on 13 Jan 2025 - 4:10

Isomorphism of $\mathfrak{gl}_n(K)/\mathfrak{sl}_n(K)$ to $K$.

Published on 13 Jan 2025 - 3:57

Kkilling form $\kappa(t_\alpha , t_\alpha ) \neq 0$ for a root $\alpha$ of semisimple lie algebra $L$

Published on 13 Jan 2025 - 4:11

Cohomology groups of semisimple Lie algebras and Lie groups over $\mathbb{R}$

Published on 13 Jan 2025 - 4:07

How does one proceed in finding a Cartan subalgebra?

Published on 13 Jan 2025 - 3:57

What is the derived algebra of $\mathfrak{sl}(n,\mathbb C)$?

Published on 13 Jan 2025 - 3:58

example of a Lie algebra L and its non-semisimple representation

Published on 13 Jan 2025 - 4:03

How to prove that $\mathfrak{sl}(n,\Bbb C)$ is a simple Lie algebra for $n\ge 2$?

Published on 13 Jan 2025 - 4:07

Is the one-dimensional Lie algebra L=C semisimple?

Published on 13 Jan 2025 - 3:55

Second cohomology group of semidirect sum of semisimple Lie algebra $\mathfrak{g}$ and over finite $\mathfrak{g}$-module.

Published on 13 Jan 2025 - 4:14