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A class of Lie conformal superalgebras in higher dimensions

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arxiv 1407.8240 v1 pith:HNZJRZAA submitted 2014-07-30 math.QA math.RA

Yanyong Hong This is my paper
classification math.QAmath.RA
keywords conformalsuperalgebrasclasscharacterizationequivalentconstructionsdimensiondimensions
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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 $1\leq i \leq r$. 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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