Gröbner-Shirshov bases for associative conformal modules

Published 12 Aug 2017 in math.RA | (1708.04580v1)

Abstract: We construct free modules over an associative conformal algebra. We establish Composition-Diamond lemma for associative conformal modules. As applications, Gr\"obner-Shirshov bases of the Virasoro conformal module and module over the semidirect product of Virasoro conformal algebra and current algebra are given respectively.

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