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

Alberto De Sole; Pedram Hekmati; Victor Kac

arxiv: 1007.3707 · v1 · pith:FT5SPFZJnew · submitted 2010-07-21 · 🧮 math.RA · math-ph· math.MP· math.QA· nlin.SI

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

Alberto De Sole , Pedram Hekmati , Victor Kac This is my paper

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keywords calculuscomplexstructurealgebraconformalvariationalcasechains

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

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