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About the order of Coxeter groups

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#group-theory #finite-groups #group-presentation #coxeter-groups #combinatorial-group-theory
164
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Questions about Lusztig's $\mathbf a$-function

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#representation-theory #coxeter-groups
177
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A question on Coxeter groups

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#coxeter-groups
390
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Why are all symmetry groups of regular polytopes are finite Coxeter groups.

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#symmetry #polytopes #coxeter-groups
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The Tits Cone - Geometric Understanding

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#coxeter-groups
305
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Weyl group and weight lattice chambers.

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#lie-algebras #integer-lattices #root-systems #coxeter-groups #lattices-in-lie-groups
204
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Conceptual question about extended affine Weyl group $\hat{W}_a$

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#group-theory #coxeter-groups
111
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Reference for reading Dynkin diagrams in Lie theory?

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#group-theory #lie-algebras #coxeter-groups #dynkin-diagrams
742
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The number of reduced expressions for the longest element of $B_n$?

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#group-theory #finite-groups #lie-groups #coxeter-groups
18
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$S_3$-invariants of some twisted regular-function algebra

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#linear-algebra #representation-theory #symmetric-groups #coxeter-groups
72
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Finite group with $BN$-pair, if $s_i$ and $s_j$ are conjugate in $W$, why do they have the same index parameter?

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#group-theory #finite-groups #representation-theory #coxeter-groups #hecke-algebras
588
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Degrees of Fundamental Invariants of Coxeter Groups $A_n$

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#group-theory #representation-theory #coxeter-groups
256
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If $G$ is an algebraic group of adjoint type, is $\alpha_s^\vee(-1)=1$?

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#group-theory #representation-theory #algebraic-groups #root-systems #coxeter-groups
63
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Fundamental Region $F$ for Coxeter Group $G\subseteq\mathcal{O}(\mathbb{R}^3)$

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#group-theory #geometry #reflection #coxeter-groups
150
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Reduced word of a transposition

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#combinatorics #group-theory #symmetric-groups #coxeter-groups

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