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Which root lattices have a theta series with this property?

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#modular-forms #integer-lattices #arithmetic-functions #root-systems #theta-functions
32
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Root system of Lie algebra: right angle => not simple?

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#group-theory #lie-groups #lie-algebras #root-systems
79
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Carter's construction of the Chevalley group (Case $A_1$)

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#lie-algebras #simple-groups #root-systems
52
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Unnecessary condition in the definition of an isomorphism of root systems

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#abstract-algebra #definition #root-systems
378
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How can one determine the dimension of a Lie algebra from the attached root system?

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#lie-algebras #root-systems #semisimple-lie-algebras
230
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Free presentations of Weyl groups

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#reference-request #lie-algebras #root-systems #coxeter-groups #weyl-group
71
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How to compute the $\alpha_i$ string through $\alpha_j$?

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#lie-algebras #root-systems
676
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Computing all the roots from the Cartan matrix

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#abstract-algebra #lie-groups #lie-algebras #root-systems
126
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Dominant Weyl chamber and co-adjoint orbit for Riemann symmetric pair

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#lie-groups #lie-algebras #root-systems #reductive-groups #symmetric-spaces
382
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Labeling of positive roots in a root system $C_3$ and

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#lie-algebras #root-systems #dynkin-diagrams
248
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Number of simple roots sent to negative roots by element of Weyl group

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#lie-groups #lie-algebras #root-systems
70
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Root Systems: existence of a root give two other roots

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#abstract-algebra #lie-algebras #root-systems #weyl-group
52
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$x^4-6x^3+(13-m^2)x^2 - 12x+4$

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#roots #root-systems
1k
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Picture of Root System of $\mathfrak{sl}_{3}(\mathbb{C})$

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#abstract-algebra #lie-algebras #root-systems #semisimple-lie-algebras
141
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Intersection of Levi subgroups via intersection of their Weyl groups

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#representation-theory #lie-algebras #algebraic-groups #root-systems #coxeter-groups

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