List questions from coxeter-groups

Published on 27 Sep 2014 - 13:55

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

Published on 28 Sep 2014 - 16:00

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

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Texts on Coxeter groups

Published on 06 Dec 2014 - 17:01

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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?

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Affine Hecke algebras and Lusztig relations

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Coxeter exchange condition in symmetric group

Published on 15 Oct 2019 - 12:14

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

Published on 27 Oct 2019 - 16:06

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When is the group action transitive?

Published on 25 Nov 2019 - 8:32

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

Published on 31 Dec 2019 - 13:08

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

Published on 11 Feb 2020 - 17:31

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Does every finite Coxeter group have a unique longest element?

Published on 28 Feb 2020 - 17:31

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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 12 Mar 2020 - 14:02

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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