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

2020/09/30 by Yan-an Cai, Cai, Yan-an, Rencai Lü +1
Mathematics · #17B10 #17B20 #17B65 #17B66 #17B68 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2010.00322

openalex publication_date 2020/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Citations

• Classification of simple Harish-Chandra modules over the N=1 Ramond algebra

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