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Action of right angled Coveter group on its Davis complex

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#geometric-group-theory #coxeter-groups
770
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How many reflection subgroups are in $D_{2n}$?

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#group-theory #dihedral-groups #reflection #coxeter-groups
237
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If $\alpha,\beta$ are orthogonal simple roots, do the coroots $\alpha^\vee$ and $\beta^\vee$ commute?

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#representation-theory #root-systems #coxeter-groups
60
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Reducible crystallographic Coxeter Group

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#linear-algebra #geometry #algebraic-geometry #coxeter-groups
41
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Confused by reflection formula for Coxeter systems of type $I_2(4)$ and $I_2(6)$ in Humphreys.

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#group-theory #representation-theory #reflection #coxeter-groups
101
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Orbits in Coxeter Group

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#group-theory #geometry #finite-groups #coxeter-groups
131
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Conjugacy classes of Weyl group of type B

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#representation-theory #coxeter-groups #weyl-group
191
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Alcoves in extended affine Weyl group of $A_1^{(1,1)}$

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#group-theory #coxeter-groups
674
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Reference request: Inversions and $\sum_{w\in W}q^{\ell(w)}$ for arbitrary Coxeter groups

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#combinatorics #symmetric-groups #coxeter-groups
85
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How to justify that any set of coxeter generators for a Weyl group are simple

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#abstract-algebra #group-theory #coxeter-groups #weyl-group
219
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What does it mean for a Coxeter system to be of "spherical" type?

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#group-theory #reflection #coxeter-groups
67
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Exercise on saturated Tits system

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#reflection #coxeter-groups #weyl-group #tits-system
135
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Exercise 1 in Chapter 4, Section 1 of Bourbaki, *Lie Groups and Lie Algebras*

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#coxeter-groups #tits-system
158
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Exercise 3 in Chapter IV, Section 1 on Bourbaki, *Lie Groups and Lie Algebras*

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#coxeter-groups
139
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Parabolic Bruhat order

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#combinatorics #representation-theory #coxeter-groups

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