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Question about proof of positive roots under reflection

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#linear-algebra #group-theory #geometry #root-systems #coxeter-groups
241
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Reduced decomposition of the long element of $C_n$ or $B_n$?

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#root-systems #coxeter-groups
102
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A wall is a union of panels

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#lie-algebras #algebraic-groups #coxeter-groups #buildings #tits-system
85
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Is the 9-space coordinatizion of the roots of $E_6$ "nicely" related to the 8-space coordinatization of these roots as 72 roots of $E_8$?

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#algebraic-groups #root-systems #coxeter-groups
196
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Finding orbits of fundamental weights

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#representation-theory #lie-groups #lie-algebras #root-systems #coxeter-groups
45
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If $E_6$ arises WITHIN $E_8$, does $E_8$ also arise FROM $E_6$?

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#lie-algebras #algebraic-groups #root-systems #coxeter-groups
485
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Relating height to length in a root system

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#representation-theory #algebraic-groups #root-systems #coxeter-groups #reductive-groups
138
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Is this "co-location" of two $E_6$'s, two $F_4$'s, and one $E_8$ possible?

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#algebraic-groups #polytopes #root-systems #coxeter-groups
168
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Longest element of a subgroup

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#abstract-algebra #group-theory #representation-theory #lie-algebras #coxeter-groups
1k
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Finite/Infinite Coxeter Groups

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#combinatorics #group-theory #finite-groups #coxeter-groups
439
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Spherical building of an exceptional group of Lie type

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#algebraic-groups #coxeter-groups
116
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Why is this map diagonalisable?

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#coxeter-groups
502
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lattices in semisimple Lie groups

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#reference-request #lie-groups #coxeter-groups #lattices-in-lie-groups
1.2k
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Reflection groups and symmetric group

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#abstract-algebra #group-theory #symmetric-groups #coxeter-groups
248
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Description of flipping tableau for inversions in reduced decompositions of permutations

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#combinatorics #group-theory #coxeter-groups

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