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15
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There is an element of every possible length in $[W_{\theta} \backslash W]$

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#group-theory #root-systems #coxeter-groups
565
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Finding the simple roots of the classical Lie algebra $G_2$ using some kind of diagram

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#lie-algebras #root-systems #semisimple-lie-algebras #dynkin-diagrams
530
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Basic question regarding roots from a Lie algebra in $\mathbb{R}^2$

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#roots #lie-algebras #root-systems
76
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Does one get any set of positive roots by "cutting" with a hyperplane?

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#root-systems #semisimple-lie-algebras
52
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Generalised eigenvectors of a finite dimensional vector space

Published on
#matrices #jordan-normal-form #root-systems
38
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The relative weights form a basis of $\mathfrak a_P^{G \ast}$

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#algebraic-number-theory #lie-groups #root-systems #reductive-groups
314
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Determine Cartan matrix from conditions

Published on
#lie-algebras #root-systems
272
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Weyl group of a compact Lie group vsWeyl group of a root system

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#lie-groups #lie-algebras #root-systems #weyl-group
36
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Values of $b(h_a)-a(h_b)$ with $a,b$ being roots in root system of a Lie algebra

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#lie-algebras #root-systems #semisimple-lie-algebras #weyl-group
92
Views

Orientation in reflection groups

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#reflection #orientation #root-systems
187
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Finding Lie algebra from relation of roots in root system

Published on
#lie-algebras #root-systems
1.3k
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Weyl group of type $A_n$

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#abstract-algebra #group-theory #root-systems #weyl-group
292
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Differing definitions of Cartan subalgebras

Published on
#lie-algebras #root-systems
424
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Quotient manifold of a finite group action

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#group-actions #quotient-spaces #orientation #manifolds-with-boundary #root-systems
37
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A remark about $\rho$ and $G$ being simply connected

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#algebraic-groups #root-systems

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