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Angles of the Fundamental Alcove (Chamber?)

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#group-theory #reflection #root-systems #coxeter-groups #reflection-group
177
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Root system for Lie algebras: If $\alpha, \beta, \alpha - \beta \in \Phi$ are all roots, is $(\alpha, \beta) > 0$?

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#lie-algebras #root-systems #semisimple-lie-algebras
180
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The effect of a Cayley transform on a Cartan subalgebra

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#lie-groups #lie-algebras #root-systems #lie-derivative
118
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Set of roots such that sum of them with given positive root is not a root

Published on
#linear-algebra #lie-algebras #root-systems
60
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On axiomatic definition of affine root systems

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#algebraic-groups #root-systems #weyl-group #hecke-algebras
133
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What is a simple component of a root system?

Published on
#lie-groups #lie-algebras #root-systems #dynkin-diagrams
229
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Which Dynkin diagram is being spoken about here? Why is there a double line?

Published on
#lie-groups #lie-algebras #root-systems #dynkin-diagrams
143
Views

Claims on Root systems

Published on
#lie-algebras #root-systems
302
Views

Possible lenghts in an irreducible root system

Published on
#lie-algebras #root-systems
382
Views

Finding a dominant root $\alpha$ for a semisimple, irreducible Lie-algebra $\mathfrak{g}$.

Published on
#abstract-algebra #group-theory #representation-theory #lie-algebras #root-systems
110
Views

Intersection of standard parabolic subgroups

Published on
#algebraic-groups #root-systems #reductive-groups
74
Views

Root decomposition of lie algebra from the decomposition of the complexification

Published on
#lie-groups #lie-algebras #root-systems
132
Views

Reference for the bijection of parabolic subgroups $P$ containing $B$ and subsets of the set of simple roots $\Delta(B)$

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#algebraic-groups #reductive-groups #root-systems
210
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Only Weyl group of rank two root system can be dihedral

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#root-systems #weyl-group
109
Views

Question about definition of Verma modules

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#lie-algebras #ideals #root-systems #semisimple-lie-algebras #verma-modules

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