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15
131
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Isomorphisms of irreducible root systems

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#root-systems #semisimple-lie-algebras #weyl-group
200
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Defining the Weyl group of type $D_n$ as a subgroup of Weyl group of type $B_n$ in GAP

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#group-theory #gap #coxeter-groups #weyl-group
140
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Determining the Weyl group from a given root system

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#linear-algebra #abstract-algebra #lie-algebras #root-systems #weyl-group
119
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How to find the longest element in a double coset of a Weyl group using SageMath?

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#group-theory #math-software #sagemath #coxeter-groups #weyl-group
94
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Counting and finding root subsystems

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#root-systems #weyl-group #dynkin-diagrams
73
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Conditions for finiteness of a reflection group

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#reflection #coxeter-groups #weyl-group
59
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On axiomatic definition of affine root systems

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#algebraic-groups #root-systems #weyl-group #hecke-algebras
365
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How does the weyl group act on weights\roots

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#representation-theory #lie-groups #characters #weyl-group
45
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Longest element of Weyl group of a simple Lie algebra action on Weyl chambers

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#lie-algebras #weyl-group
118
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Question concerning positive Weyl chamber

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#representation-theory #lie-groups #locally-compact-groups #semisimple-lie-algebras #weyl-group
209
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Only Weyl group of rank two root system can be dihedral

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#root-systems #weyl-group
101
Views

What is the name of the "duality" Dynkin diagram automorphism

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#reference-request #lie-groups #lie-algebras #weyl-group #dynkin-diagrams
79
Views

Particular Weyl group longest word

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#representation-theory #lie-groups #lie-algebras #algebraic-groups #weyl-group
142
Views

What is the longest Weyl element of $SO(2n+1)$?

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#lie-groups #lie-algebras #weyl-group
82
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Is normalizer of a torus subgroup the Weyl group of a root system?

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#lie-groups #lie-algebras #root-systems #weyl-group

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