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15
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How to show bilinearity

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#vector-spaces #bilinear-form #coxeter-groups
112
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Reflection length of the longest word in a Coxeter group.

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#abstract-algebra #group-theory #coxeter-groups
546
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About parabolic subgroup of a Weyl group

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#abstract-algebra #group-theory #root-systems #coxeter-groups #weyl-group
51
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Can generators of a Coxeter group be redundant?

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#abstract-algebra #coxeter-groups
89
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Can every positive root of a Coxeter group be written as a simple root and a positive root?

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#abstract-algebra #group-theory #lie-groups #coxeter-groups
113
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How to translate an element in a Coxeter group written as a matrix in Sage to reflections (a list)?

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#combinatorics #math-software #sagemath #coxeter-groups
55
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Embeddings of Coxeter Groups of Rank $3$ into $\text{SO}(3)$

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#abstract-algebra #group-theory #representation-theory #coxeter-groups
71
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Counting inversions of random elements in coxeter groups

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#combinatorics #group-theory #finite-groups #coxeter-groups #permutation-cycles
74
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How would one classify point groups?

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#group-theory #geometry #representation-theory #reflection #coxeter-groups
252
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Reduced Expression for Reflection in Weyl Group

Published on
#lie-algebras #coxeter-groups #weyl-group
49
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Is every convex fundamental region regularly open?

Published on
#general-topology #topological-groups #coxeter-groups
231
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Free presentations of Weyl groups

Published on
#reference-request #lie-algebras #root-systems #coxeter-groups #weyl-group
302
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Symmetries of a 4-demicube

Published on
#symmetry #polytopes #automorphism-group #coxeter-groups
262
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Motivation for definition of bilinear form in linear representation of Coxeter groups?

Published on
#group-theory #finite-groups #representation-theory #reflection #coxeter-groups
141
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Intersection of Levi subgroups via intersection of their Weyl groups

Published on
#representation-theory #lie-algebras #algebraic-groups #root-systems #coxeter-groups

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