Classification of simple Harish-Chandra modules over the Neveu-Schwarz algebra and its contact subalgebra

Yan-an Cai; Rencai Lü

Classification of simple Harish-Chandra modules over the Neveu-Schwarz algebra and its contact subalgebra

Representation Theory 2020-10-02 v1 Quantum Algebra

Authors: Yan-an Cai , Rencai Lü

Abstract

In this paper, we classify all simple jet modules for the Neveu-Schwarz algebra $\widehat{\mathfrak{k}}$ and its contact subalgebra $\mathfrak{k}^+$ . Based on these results, we give a classification of simple Harish-Chandra modules for $\widehat{\mathfrak{k}}$ and $\mathfrak{k}^+$ .

Keywords

harish-chandra modules neveu-schwarz algebra contact subalgebra jet modules simple modules module classification

Cite

@article{arxiv.2010.00322,
  title  = {Classification of simple Harish-Chandra modules over the Neveu-Schwarz algebra and its contact subalgebra},
  author = {Yan-an Cai and Rencai Lü},
  journal= {arXiv preprint arXiv:2010.00322},
  year   = {2020}
}

Comments

arXiv admin note: text overlap with arXiv:2007.04483

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