List questions from coxeter-groups | MathQa

Generating set of Coxeter group from a $(B,N)$-pair?

Published on 13 Jan 2025 - 7:43

Coxeter presentation of Hyperoctahedral group $(\mathbb{Z}/2\mathbb{Z})^n \rtimes S_n$.

Published on 13 Jan 2025 - 5:22

Intersection of halfspaces and hyperplanes

Published on 12 Jan 2025 - 23:06

Mapping $\Delta(2,2,2)\mapsto \Delta(4,4,2)$...

Published on 13 Jan 2025 - 7:40

On groups with presentations $ \langle a,b,c\mid a^2=b^2=c^2=(ab)^p=(bc)^q=(ca)^r=(abc)^s=1\rangle $...

Published on 12 Jan 2025 - 23:27

What is the longest element of $S_n$ as a product of adjacent transpositions?

Published on 12 Jan 2025 - 23:23

Is there a quick way to find the longest element of a subgroup of a Weyl group?

Published on 13 Jan 2025 - 7:40

If $P_I$ is a parabolic subgroup in $GL_n(k)$, is $P_I$ conjugate to ${P_I}^-$ under some element of $W$?

Published on 13 Jan 2025 - 7:33

Relation between reflection group and coxeter group

Published on 13 Jan 2025 - 7:43

In a reflection group, the longest word $w_0$ contains all simple reflections

Published on 12 Jan 2025 - 23:23