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arxiv: 1511.07599 · v1 · pith:M62JES6Lnew · submitted 2015-11-24 · 🧮 math.RT

Classification of irreducible integrable highest weight modules for current Kac-Moody Algebras

classification 🧮 math.RT
keywords modulesalgebraskac-moodyweightcurrenthighestintegrableirreducible
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This paper classifies irreducible, integrable highest weight modules for "current Kac-Moody Algebras" with finite dimensional weight spaces. We prove that these modules turn out to be modules of appropriate direct sums of finitely many copies of Kac-Moody Lie algebras.

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