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How to find rational elements of order 3 in the Lie group $A_2$

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#lie-groups #lie-algebras #lattices-in-lie-groups #weyl-group
130
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The definition of simplicial hyperplane arrangements

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#linear-algebra #weyl-group
131
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Program for computations with Weyl Groups.

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#finite-groups #lie-algebras #computational-mathematics #sagemath #weyl-group
436
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Computing the longest element of the Weyl group

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#abstract-algebra #representation-theory #root-systems #weyl-group #dynkin-diagrams
1.1k
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Properties of the Weyl vector $\rho = \frac{1}{2} \sum_{\alpha > 0} \alpha$

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#lie-groups #lie-algebras #lattices-in-lie-groups #weyl-group
108
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Conjugating a root subgroup by a Weyl group element

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#algebraic-groups #reductive-groups #weyl-group
81
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Qustions on the orbits of weyl group and group actions

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#differential-geometry #lie-groups #lie-algebras #weyl-group #symmetric-spaces
88
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Relation between product of reflections and angle

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#reflection #root-systems #weyl-group
81
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Weyl groups sends Weyl Chamber onto another:

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#root-systems #weyl-group
181
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Longest element of $D_n$ and the set of positive roots

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#group-theory #coxeter-groups #weyl-group
98
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Dominance of $w\mu$ for dominant cocharacter $\mu$

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#representation-theory #root-systems #reductive-groups #weyl-group
1.1k
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I don´t understand root systems

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#lie-groups #roots #lie-algebras #root-systems #weyl-group
307
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Equivalent definition of Weyl group?

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#representation-theory #roots #lie-algebras #automorphism-group #weyl-group
34
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How to take the imprimitive unitary reflection groups as input in GAP?

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#gap #weyl-group
208
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Normalizer of an abelian subgroup

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#representation-theory #lie-groups #weyl-group

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