List questions from coxeter-groups

Published on 22 Oct 2016 - 7:16

198

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Why $W(B_\ell) \simeq (\Bbb Z/2\Bbb Z)^\ell \rtimes S_\ell$?

Published on 26 Oct 2016 - 16:48

149

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Finite reflection groups in a Euclidean space

Published on 28 Oct 2016 - 12:37

60

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In type $B_n$, is $s_\beta(\alpha)=\alpha+\sqrt{2}\beta$?

Published on 12 Nov 2016 - 6:06

100

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In the dihedral group $D_{2m}$ for $m$ odd, does conjugation by $w_0$ exchange the simple reflections?

Published on 19 Nov 2016 - 7:08

1.3k

Views

Finding the longest element $w_0$ of the reflection group $S_n$ with respect to the positive system $\{e_i - e_j, 1≤i < j≤1\}$

Published on 29 Nov 2016 - 21:04

85

Views

Reduced word labeling of Bruhat Order

Published on 30 Jan 2017 - 18:26

395

Views

Slick proof that Coxeter groups $H_3$ and $H_4$ are finite?

Published on 09 Feb 2017 - 15:27

354

Views

Confusing notation: Presentation theory of symmetric groups (Coxeter presentations)

Published on 18 Feb 2017 - 14:02

50

Views

A interesting number game in a lecture note about coxeter group

Published on 20 Mar 2017 - 4:52

627

Views

Is there a root system for a Dihedral group?

Published on 21 Mar 2017 - 11:13

45

Views

How to prove that $T_L(u) = T_L(w)$ implies that $u=w$?

Published on 31 Mar 2017 - 4:52

61

Views

A question about long roots and their behaviour under the scalar product

Published on 02 Apr 2017 - 8:18

63

Views

Computing orders of some irreducible finite Coxeter groups

Published on 02 Apr 2017 - 18:25

128

Views

Condition implying $N(H)/H$ a Coxeter group?

Published on 17 Feb 2023 - 2:01

List Question

Why does $P_JnP_K\cap N=N_JnN_K$ in a group with split $BN$-pair?

Why $W(B_\ell) \simeq (\Bbb Z/2\Bbb Z)^\ell \rtimes S_\ell$?

Finite reflection groups in a Euclidean space

In type $B_n$, is $s_\beta(\alpha)=\alpha+\sqrt{2}\beta$?

In the dihedral group $D_{2m}$ for $m$ odd, does conjugation by $w_0$ exchange the simple reflections?

Finding the longest element $w_0$ of the reflection group $S_n$ with respect to the positive system $\{e_i - e_j, 1≤i < j≤1\}$

Reduced word labeling of Bruhat Order

Slick proof that Coxeter groups $H_3$ and $H_4$ are finite?

Confusing notation: Presentation theory of symmetric groups (Coxeter presentations)

A interesting number game in a lecture note about coxeter group

Is there a root system for a Dihedral group?

How to prove that $T_L(u) = T_L(w)$ implies that $u=w$?

A question about long roots and their behaviour under the scalar product

Computing orders of some irreducible finite Coxeter groups

Condition implying $N(H)/H$ a Coxeter group?

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