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

Authors :
Yan-an Cai
Rencai Lu
Source :
Journal of Pure and Applied Algebra. 226:106866
Publication Year :
2022
Publisher :
Elsevier BV, 2022.

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 $\mathfrak{k}^+$.<br />Comment: arXiv admin note: text overlap with arXiv:2007.04483

Details

ISSN :
00224049
Volume :
226
Database :
OpenAIRE
Journal :
Journal of Pure and Applied Algebra
Accession number :
edsair.doi.dedup.....cd1a97dea8eddb5a15d0d3c9307d3403