A class of Lie conformal superalgebras in higher dimensions

preprint2014arXivOpen access

Abstract

Fix a positive integer number rr. A class of rr-dim Lie conformal superalgebras named rr-dim ii-linear Lie conformal superalgebras are studied for 1≤i≤r1\leq i \leq r. We present an equivalent characterization of this class of Lie conformal superalgebras in rr dimension. Moreover, by this equivalent characterization, several constructions and examples are given.

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