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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

classification 🧮 math.RA math-phmath.MPmath.QAnlin.SI
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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