A class of Lie conformal superalgebras in higher dimensions
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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