Question

In the weak Bruhat order, is every element bounded by a power of a Coxeter element?

score 174 · Answer 1 · 2026-03-25 06:53:55

174

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In the weak Bruhat order, is every element bounded by a power of a Coxeter element?

Published on 25 Mar 2026 - 6:53

score 143 · Answer 2 · 2021-02-05 07:48:49

143

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Is there a group with finitely many generators of order 2 that is not a Coxeter group?

Published on 05 Feb 2021 - 7:48

score 74 · Answer 3 · 2021-02-25 12:51:21

74

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presentation of a generic algebra

Published on 25 Feb 2021 - 12:51

score 127 · Answer 4 · 2021-04-13 09:40:34

127

Views

Which Coxeter Elements have powers that are the longest element of the (Finite, Irreducible) Coxeter Group?

Published on 13 Apr 2021 - 9:40

score 113 · Answer 5 · 2021-04-28 02:12:54

113

Views

Coxeter notation for the symmetries of the maximally symmetric unit-distance embedding of $K_{3,3}$ in $\mathbb R^4$

Published on 28 Apr 2021 - 2:12

score 63 · Answer 6 · 2021-04-28 10:52:57

63

Views

Reflection subgroups in Coxeter groups

Published on 28 Apr 2021 - 10:52

score 33 · Answer 7 · 2026-03-25 23:36:10

33

Views

Finding the closest point in a root lattice

Published on 25 Mar 2026 - 23:36

score 31 · Answer 8 · 2021-05-02 18:14:10

31

Views

How can we define a reflection ordering without the use of roots?

Published on 02 May 2021 - 18:14

score 193 · Answer 9 · 2021-05-20 15:20:35

193

Views

Defining a Coxeter group using all reflections

Published on 20 May 2021 - 15:20

score 97 · Answer 10 · 2026-03-25 16:06:53

97

Views

Distance labels in regular hyperbolic tilings

Published on 25 Mar 2026 - 16:06

score 119 · Answer 11 · 2021-06-20 12:14:00

119

Views

Hyperplane arrangements: Hyperplanes intersecting in a single point

Published on 20 Jun 2021 - 12:14

score 69 · Answer 12 · 2026-03-25 15:52:43

69

Views

Is there a neat way to construct the Coxeter Group $H_4$ from that of $H_3$ using the fact that $|H_4| = 14400 = 120^2 =|H_3|^2$?

Published on 25 Mar 2026 - 15:52

score 126 · Answer 13 · 2021-07-16 10:56:44

126

Views

What's the classification of Coxeter Groups for which every proper parabolic subgroup is finite?

Published on 16 Jul 2021 - 10:56

score 181 · Answer 14 · 2026-03-25 06:06:26

181

Views

Longest element of $D_n$ and the set of positive roots

Published on 25 Mar 2026 - 6:06

score 82 · Answer 15 · 2021-08-04 14:47:40

82

Views

The Bruhat Orders of (finite irreducible) Coxeter Groups as Polytopes

Published on 04 Aug 2021 - 14:47

List Question

In the weak Bruhat order, is every element bounded by a power of a Coxeter element?

Is there a group with finitely many generators of order 2 that is not a Coxeter group?

presentation of a generic algebra

Which Coxeter Elements have powers that are the longest element of the (Finite, Irreducible) Coxeter Group?

Coxeter notation for the symmetries of the maximally symmetric unit-distance embedding of $K_{3,3}$ in $\mathbb R^4$

Reflection subgroups in Coxeter groups

Finding the closest point in a root lattice

How can we define a reflection ordering without the use of roots?

Defining a Coxeter group using all reflections

Distance labels in regular hyperbolic tilings

Hyperplane arrangements: Hyperplanes intersecting in a single point

Is there a neat way to construct the Coxeter Group $H_4$ from that of $H_3$ using the fact that $|H_4| = 14400 = 120^2 =|H_3|^2$?

What's the classification of Coxeter Groups for which every proper parabolic subgroup is finite?

Longest element of $D_n$ and the set of positive roots

The Bruhat Orders of (finite irreducible) Coxeter Groups as Polytopes

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