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

Published 3 May 2019 in math.RA and math.RT | (1905.01379v1)

Abstract: 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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