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Calculus structure on the Lie conformal algebra complex and the variational complex

Published 21 Jul 2010 in math.RA, math-ph, math.MP, math.QA, and nlin.SI | (1007.3707v1)

Abstract: We construct a calculus structure on the Lie conformal algebra cochain complex. By restricting to degree one chains, we recover the structure of a g-complex introduced in [DSK]. A special case of this construction is the variational calculus, for which we provide explicit formulas.

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