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A class of Lie conformal superalgebras in higher dimensions

2014/07/30 by Yanyong Hong, Hong, Yanyong
Mathematics · Physics and Astronomy · #17B60 #17B63 #17B67 #17B69 #17D99 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1407.8240

openalex publication_date 2014/07/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Fix a positive integer number r. A class of r-dim Lie conformal superalgebras named r-dim i-linear Lie conformal superalgebras are studied for 1≤ i ≤ r. We present an equivalent characterization of this class of Lie conformal superalgebras in r dimension. Moreover, by this equivalent characterization, several constructions and examples are given.

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