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Bounding the inner product in root systems.

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#representation-theory #algebraic-groups #root-systems
448
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Equation On Root Systems (Humphreys Exercise 9.10)

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#lie-algebras #root-systems
1.7k
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Examples of root, parabolic, and borel subgroups corresponding to roots

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#abstract-algebra #reference-request #examples-counterexamples #algebraic-groups #root-systems
573
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Base of a root system

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#lie-algebras #root-systems
442
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Coxeter numbers for semisimple and reductive algebraic groups

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#abstract-algebra #representation-theory #lie-algebras #algebraic-groups #root-systems
501
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Weyl orbits of integral dominant weights and convex polytopes

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#lie-algebras #symplectic-geometry #root-systems
99
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Quaternion, Dihedral groups and A-D-E classification

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#group-theory #finite-groups #lie-groups #lie-algebras #root-systems
124
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Maximal noncompact forms in classical Lie algebra?

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#lie-groups #lie-algebras #bilinear-form #root-systems
274
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Problem 9.7 - Lie Algebras - Humphreys

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#abstract-algebra #lie-algebras #root-systems
313
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-- Cartan matrix for an exotic type of Lie algebra --

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#group-theory #representation-theory #lie-groups #lie-algebras #root-systems
580
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Regarding root space decomposition

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#lie-algebras #root-systems
233
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Cartan matrix for a semisimple Lie algebra with an extension

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#abstract-algebra #representation-theory #lie-groups #lie-algebras #root-systems
445
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Simple Lie algebras have irreducible root systems?

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#lie-algebras #root-systems #proof-explanation
164
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How does a semisimple Lie algebra determine its root space?

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#lie-algebras #root-systems
67
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Why is that an automorphism that preserves $B$ and $H$ an automorphism of $\Phi$ that leaves $\Delta$ invariant?

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#lie-algebras #root-systems

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