List questions from root-systems | MathQa

Reflection transforms positive root into a positive root.

Published on 06 Jun 2025 - 5:44

Roots of height 1 are necessarily simple.

Published on 06 Jun 2025 - 5:44

Definitions of length function on a Weyl group

Published on 06 Jun 2025 - 5:44

Roots of a simple Lie algebra as elements of a Cartan subalgebra

Published on 06 Jun 2025 - 5:44

Sum of traces over Weyl group

Published on 06 Jun 2025 - 5:44

If $w'(\beta)<0$ and $\ell(w)+\ell(w')=\ell(ww')$, then $ww'(\beta)<0$?

Published on 06 Jun 2025 - 5:44

Two questions on roots of finite, simple, complex lie algebra

Published on 06 Jun 2025 - 5:57

Root system of an abelian lie subalgebra.

Published on 06 Jun 2025 - 5:45

Action of $\text{Gal}(\overline{\mathbb{F}_q}/\mathbb{F}_q)$ on $X(T)$ permutes root system

Published on 06 Jun 2025 - 5:45

$\alpha$ is a root $\implies -\alpha$ is a root

Published on 06 Jun 2025 - 5:45