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

Yuri Bahturin; Abdallah Shihadeh

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

Rings and Algebras 2019-05-07 v1 Representation Theory

Authors: Yuri Bahturin , Abdallah Shihadeh

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].

Keywords

graded modules sl2(c) infinite-dimensional modules torsion-free modules simple lie algebras

Cite

@article{arxiv.1905.01379,
  title  = {Graded torsion-free ${\mathfrak{sl}_2(\mathbb{C})}$-modules of rank 2},
  author = {Yuri Bahturin and Abdallah Shihadeh},
  journal= {arXiv preprint arXiv:1905.01379},
  year   = {2019}
}

Comments

25 pages

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