List questions from coxeter-groups

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Create Platonic solids from the coxeter group (vertexes & edges & faces)

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Lusztig's $h$-function of a dihedral group

Published on 10 Apr 2026 - 23:28

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Texts on Coxeter groups

Published on 10 May 2026 - 10:07

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Use GAP3 program for computing the h-polynomials of Lusztig

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Isomorphic Coxeter Groups

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Weyl groups: correspondence of reflections and roots?

Published on 15 Apr 2026 - 12:51

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Affine Hecke algebras and Lusztig relations

Published on 13 Apr 2026 - 20:55

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Coxeter exchange condition in symmetric group

Published on 25 Mar 2026 - 9:24

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What sort of groups are generated by a single conjugacy class?

Published on 25 Mar 2026 - 10:53

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When is the group action transitive?

Published on 05 Apr 2026 - 20:42

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Coxeter graph of the group $\mathbb{Z}_2 \times \mathbb{Z}_2 \times \dots \times \mathbb{Z}_2$

Published on 25 Mar 2026 - 9:28

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There is an element of every possible length in $[W_{\theta} \backslash W]$

Published on 25 Mar 2026 - 9:28

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Does every finite Coxeter group have a unique longest element?

Published on 25 Mar 2026 - 9:24

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Let $w_0$ be the element of longest length in a Coxeter group. Show that $l(w_0w)=l(ww_0)=l(w_0)-l(w)$? Find $w_0$ explicitly in $S_n$.

Published on 25 Mar 2026 - 9:29

List Question

Simple systems are the "smallest"

Create Platonic solids from the coxeter group (vertexes & edges & faces)

Lusztig's $h$-function of a dihedral group

Texts on Coxeter groups

Use GAP3 program for computing the h-polynomials of Lusztig

Isomorphic Coxeter Groups

Weyl groups: correspondence of reflections and roots?

Affine Hecke algebras and Lusztig relations

Coxeter exchange condition in symmetric group

What sort of groups are generated by a single conjugacy class?

When is the group action transitive?

Coxeter graph of the group $\mathbb{Z}_2 \times \mathbb{Z}_2 \times \dots \times \mathbb{Z}_2$

There is an element of every possible length in $[W_{\theta} \backslash W]$

Does every finite Coxeter group have a unique longest element?

Let $w_0$ be the element of longest length in a Coxeter group. Show that $l(w_0w)=l(ww_0)=l(w_0)-l(w)$? Find $w_0$ explicitly in $S_n$.

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