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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
82
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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
111
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A certain enveloping algebra of an affine Kac-Moody algebra

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#abstract-algebra #representation-theory #lie-algebras #limits-colimits #kac-moody-algebras
73
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Jordan and Dynkin quivers

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#abstract-algebra #lie-algebras #quiver #dynkin-diagrams #kac-moody-algebras
38
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Central Charge Calculation of $SL_k(2,\mathbb{R})$ WZW Model

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#lie-algebras #coxeter-groups #dynkin-diagrams #conformal-field-theory #kac-moody-algebras
20
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Producing a nontrivial proper ideal in the (Kac-Moody) Lie algebra $\mathfrak{g}(A)$

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#lie-algebras #kac-moody-algebras
22
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The action of Minimal Kac-Moody group on its Lie algebra

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#lie-algebras #kac-moody-algebras
77
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Basic representation of a simple Lie algebra and its highest weight

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#representation-theory #lie-algebras #semisimple-lie-algebras #verma-modules #kac-moody-algebras
110
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Explicit description of closure of Tits cone of hyperbolic case

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#lie-algebras #kac-moody-algebras
85
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Is $\mathfrak{gl}_2$ a Kac-Moody Lie Algebra?

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#lie-algebras #kac-moody-algebras
107
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Is $SL(n,F)$ a Kac-Moody group?

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#abstract-algebra #lie-groups #kac-moody-algebras
73
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$[h_i,{(ad\ f_i)^t\ f_j}]=-(t\alpha_i+\alpha_j)(h_i){(ad\ f_i)^t\ f_j}$ in a Kac-Moody algebra

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#lie-algebras #kac-moody-algebras
193
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Category $\mathcal{O}$ is closed under tensor product

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#representation-theory #lie-algebras #kac-moody-algebras
195
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Why is the highest weight module in $\mathcal{O}$ category?

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#representation-theory #order-theory #kac-moody-algebras
196
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Character formula of Verma module over a Kac-Moody algebra

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#kac-moody-algebras #verma-modules

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