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15
122
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Dimension of flag variety and sum of coefficients of anticanonical divisor

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#algebraic-geometry #lie-algebras #projective-geometry #algebraic-groups #root-systems
69
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One question about reductive group

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#representation-theory #algebraic-groups #root-systems #weyl-group
517
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Understanding Dynkin Labels

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#representation-theory #lie-algebras #root-systems #dynkin-diagrams
44
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When is a sum of two real roots of a symmetrizable Kac-Moody algebra is again a real root?

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#lie-algebras #fibonacci-numbers #root-systems #kac-moody-algebras
80
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The closure of the Tits' cone of a Kac-Moody Lie algebra

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#lie-algebras #root-systems #coxeter-groups #kac-moody-algebras
40
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Irreducible factors of universal enveloping algebra

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#lie-algebras #root-systems #semisimple-lie-algebras #representation-of-algebras
65
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Length function on Weyl group $S_n$ gives part of the Pascal's triangle

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#lie-algebras #root-systems #weyl-group
35
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How to calculate the trace of $ad(H)$ as a linear operator acting on $\mathfrak{g}_{n\alpha}$?

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#lie-algebras #root-systems
52
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A question related to maximally non-compact Cartan subalgebra.

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#lie-groups #lie-algebras #root-systems #semisimple-lie-algebras
76
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The sum of two roots when their pairing is zero

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#representation-theory #lie-groups #lie-algebras #root-systems
84
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Dynkin diagram of a semisimple Lie algebra

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#root-systems #semisimple-lie-algebras #dynkin-diagrams
62
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The Weyl group of type $D_2$, as a subset of $S_4$

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#root-systems #reductive-groups #weyl-group
176
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Root space decomposition of Lie subgroups

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#group-theory #lie-groups #lie-algebras #root-systems #semisimple-lie-algebras
97
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Are the weights of an irreducible representation of a complex semisimple algebra induced by the weights of a representation of $SL(N)$ for some $N$?

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#representation-theory #simplex #root-systems #semisimple-lie-algebras
120
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Extending torus of split reductive group

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#abstract-algebra #reference-request #root-systems #reductive-groups

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