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Weyl group of type $A_n$

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#abstract-algebra #group-theory #root-systems #weyl-group
258
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Faithfullness of Weyl group action

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#representation-theory #lie-algebras #weyl-group #kac-moody-algebras
148
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Literature for the longest Element of the Weylgroup for $GL(n,K)$.

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#abstract-algebra #weyl-group #general-linear-group
109
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Question about a certain involution on a Coxeter group $W$.

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#group-theory #representation-theory #coxeter-groups #weyl-group
203
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If the Weyl group $\mathcal W$ is a normal subgroup of $\mathrm{Aut}(\Phi)$, how can the Weyl group of $A_2$ be dihedral of order $6$?

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#lie-algebras #root-systems #weyl-group
60
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Is the longest Weyl transformation of a product group the pair of the longests?

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#abstract-algebra #group-theory #lie-groups #weyl-group
746
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Action of Weyl group on $GL_n$

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#symmetric-groups #group-actions #algebraic-groups #weyl-group
244
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Harish Chandra isomorphism:Invariant polynomial functions

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#linear-algebra #lie-algebras #weyl-group #symmetric-algebra
54
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Weyl chambers under group inclusion

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#lie-groups #lie-algebras #weyl-group
71
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One question about reductive group

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#representation-theory #algebraic-groups #root-systems #weyl-group
65
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Length function on Weyl group $S_n$ gives part of the Pascal's triangle

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#lie-algebras #root-systems #weyl-group
62
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The Weyl group of type $D_2$, as a subset of $S_4$

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#root-systems #reductive-groups #weyl-group
113
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Correspondence Lie group/Torus and Lie algebra/CSA

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#representation-theory #lie-groups #lie-algebras #weyl-group
51
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About elements in affine extended Weyl group

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#abstract-algebra #representation-theory #root-systems #weyl-group #hecke-algebras
39
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Is it true that if we have $R\subset E$ an irreducible root system then $E$ is an irreducible representation of the Weyl group?

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#lie-algebras #weyl-group

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