Module structure on $U(\mathfrak{h})$ for Kac-Moody algebras

Haijun Tan; Kaiming Zhao; Yan-an Cai

arxiv: 1606.01891 · v2 · pith:BJVLD7DFnew · submitted 2016-06-06 · 🧮 math.RT

Module structure on U(mathfrak{h}) for Kac-Moody algebras

Yan-an Cai , Haijun Tan , Kaiming Zhao This is my paper

classification 🧮 math.RT

keywords kac-moodymodulesalgebraalgebrasarbitrarycartancategorydetermine

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Let $\g$ be an arbitrary Kac-Moody algebra with a Cartan sualgebra $\h$. In this paper, we determine the category of $\g$-modules that are free $U(\h)$-modules of rank 1.

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Module structure on U(mathfrak{h}) for Kac-Moody algebras

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