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Conditions for a neat subgroup to act fixed-point free

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#group-theory #geometry #lie-groups #lie-algebras #coxeter-groups
129
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Cardinality of a coxeter group

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#abstract-algebra #group-theory #symmetric-groups #coxeter-groups
30
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The coefficient of a root in a root system must be 0 or at least 1

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#coxeter-groups
145
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In what different terms can Coxeter systems be described?

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#abstract-algebra #group-theory #geometry #coxeter-groups
51
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How to obtain uniqueness in correspondence between simple systems and positive systems?

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#root-systems #coxeter-groups
125
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Conjugating the longest element of a parabolic subgroup by longest element in larger parabolic?

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#abstract-algebra #finite-groups #reflection #coxeter-groups #weyl-group
185
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Two definitions of Bruhat order on $S_n$

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#permutations #symmetric-groups #coxeter-groups
112
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Combinatorics of Coxeter Groups and lenght function

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#abstract-algebra #combinatorics #lie-algebras #coxeter-groups
84
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Kazhdan-Lusztig polynomials of a Dihedral group $D_n$

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#abstract-algebra #combinatorics #lie-algebras #coxeter-groups
2.1k
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What is a Coxeter Group?

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#group-theory #reflection #coxeter-groups
136
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In a Bruhat-Tits building, $N$ is the stabilizer of the standard apartment

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#affine-geometry #coxeter-groups #tits-system #bruhat-tits-theory
33
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$B$-adapted pairs and $\hat{G}$ acting on $W$

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#group-theory #coxeter-groups #tits-system #bruhat-tits-theory
308
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Why $(1+x)(1+x+x^2)\cdots(1+x+x^2+\cdots+x^n)$ gives the Poincare series?

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#combinatorics #group-theory #coxeter-groups
579
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Coxeter length in the symmetric group equals number of inversions

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#group-theory #finite-groups #permutations #induction #coxeter-groups
290
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Type B Catalan numbers as signed permutations

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#combinatorics #reference-request #catalan-numbers #coxeter-groups

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