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The elements $f_1,\cdots, f_n$ generate $\mathfrak{\tilde n_{-} }$ freely

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#lie-algebras #kac-moody-algebras #free-lie-algebra
189
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What is the matrix of the monster Lie algebra?

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#modular-forms #kac-moody-algebras
219
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Clarification on Kac Moody algebras and the different meanings in mathematics and physics

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#lie-groups #lie-algebras #mathematical-physics #string-theory #kac-moody-algebras
117
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Definition of the $O$ category for Kac Moody algebras

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#representation-theory #definition #lie-algebras #kac-moody-algebras
283
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Structure of affine Lie algebras

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#lie-algebras #mathematical-physics #central-extensions #kac-moody-algebras
150
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How to make a category of irreducible representations a monoidal category?

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#category-theory #representation-theory #lie-algebras #monoidal-categories #kac-moody-algebras
276
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Kac-Moody algebras/groups for reductive groups

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#representation-theory #lie-groups #semisimple-lie-algebras #kac-moody-algebras
319
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Construction of Lie algebra $g(A)$ in Victor Kac's book

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#lie-algebras #kac-moody-algebras
58
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Different cartan subalgebras for loop algebras

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#representation-theory #lie-algebras #mathematical-physics #kac-moody-algebras
38
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Embedding of Verma modules in Kac-Moody Lie algebras

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#representation-theory #verma-modules #kac-moody-algebras
186
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Write imaginary roots as linear combination of fundamental weights on a Kac-Moody Lie algebra

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#representation-theory #lie-algebras #kac-moody-algebras
258
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Faithfullness of Weyl group action

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#representation-theory #lie-algebras #weyl-group #kac-moody-algebras
109
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The set of weights of a module in the $\mathcal O$ category has a maximal element

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#representation-theory #order-theory #kac-moody-algebras
56
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Galois Cohomology and Loop Groups

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#lie-groups #algebraic-groups #galois-cohomology #loop-spaces #kac-moody-algebras
90
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Kac denominator formula and convergence

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#lie-algebras #kac-moody-algebras

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