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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
60
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How to identify groups by manipulating diagrams?

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#algebraic-geometry #algebraic-groups #dynkin-diagrams #bruhat-tits-theory #tits-system
74
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Exercise on saturated Tits system

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#reflection #coxeter-groups #weyl-group #tits-system
140
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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
109
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A wall is a union of panels

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#lie-algebras #algebraic-groups #coxeter-groups #buildings #tits-system

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