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Positive Cartan integers in $A_2$

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#representation-theory #lie-algebras #root-systems
101
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A problem on weights of an irreducible representation

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#representation-theory #lie-algebras #root-systems #semisimple-lie-algebras
311
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How does one find subalgebras using the Dynkin diagram of a Lie algebra

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#lie-algebras #root-systems #dynkin-diagrams #kac-moody-algebras
363
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Maximally compact Cartan subalgebra of $SO(p,q)$ and its adjoint representation

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#lie-groups #lie-algebras #root-systems #semisimple-lie-algebras
231
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Integrality property of the root system of a semisimple Lie algebra

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#representation-theory #lie-groups #lie-algebras #root-systems #semisimple-lie-algebras
268
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Levi subgroups and subsystems of root systems

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#algebraic-groups #root-systems #reductive-groups
267
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$\Phi$-extreme weights and the Weyl group orbit of the highest weight

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#representation-theory #lie-groups #lie-algebras #root-systems
88
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Worked Examples of Root System Calculation

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#reference-request #lie-algebras #root-systems
646
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Structure of the Weil restriction

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#algebraic-geometry #lie-groups #algebraic-groups #root-systems #reductive-groups
173
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Order of the fundamental Group of a root system and the determinant of the Cartan Matrix

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#lie-algebras #root-systems
40
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Symmetry in the complex semisimple lie algebra - help to understand definition

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#root-systems #semisimple-lie-algebras
93
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Help with the invariant quadratic forms and the Weyl Group

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#root-systems #semisimple-lie-algebras
133
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Dimension of maximal toral subalgebra and number of its roots

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#root-systems #semisimple-lie-algebras
186
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Weyl group $W$ is a normal subgroup of $Aut(R)$

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#lie-algebras #root-systems #semisimple-lie-algebras
102
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Schur-Positivity proof using Kashiwara crystals.

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#representation-theory #symmetric-polynomials #characters #root-systems

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