Graded torsion-free ${\mathfrak{sl}_2(\mathbb{C})}$-modules of rank 2

Abdallah Shihadeh; Yuri Bahturin

arxiv: 1905.01379 · v1 · pith:KMNPQKUBnew · submitted 2019-05-03 · 🧮 math.RA · math.RT

Graded torsion-free {mathfrak{sl}₂(mathbb{C})}-modules of rank 2

Yuri Bahturin , Abdallah Shihadeh This is my paper

classification 🧮 math.RA math.RT

keywords simplearxivgradedmathbbmathfrakmodulemodulesalgebras

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In this paper we explore the possibility of endowing simple infinite-dimensional ${\mathfrak{sl}_2(\mathbb{C})}$-modules by the structure of the graded module. The gradings on finite-dimensional simple module over simple Lie algebras has been studied in [arXiv:1308.6089] and [arXiv:1601.03008].

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Graded torsion-free {mathfrak{sl}₂(mathbb{C})}-modules of rank 2

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