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On Schr\"odinger-Virasoro type Lie conformal algebras

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arxiv 1508.03210 v1 pith:QAWJWVTF submitted 2015-08-13 math.QA math.RA

classification math.QAmath.RA
keywords conformalalgebrasschrtypecentralclassesderivationsdetermined
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In this paper, two new classes of Schr\"{o}dinger-Virasoro type Lie conformal algebras TSV(a,b) and TSV(c) which are non-simple are introduced for some a, b, c\in \mathbb{C}. Moreover, central extensions, conformal derivations and free conformal modules of rank 1 of TSV(a,b) and TSV(c) are determined.

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