Lie Conformal Algebra Cohomology and the Variational Complex |
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Authors: | Alberto de Sole and Victor G Kac |
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Institution: | 1.Dipartimento di Matematica,Universitá di Roma “La Sapienza”, Cittá Universitaria,Rome,Italy;2.Department of Mathematics,MIT,Cambridge,USA |
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Abstract: | We find an interpretation of the complex of variational calculus in terms of the Lie conformal algebra cohomology theory.
This leads to a better understanding of both theories. In particular, we give an explicit construction of the Lie conformal
algebra cohomology complex, and endow it with a structure of a
\mathfrakg{\mathfrak{g}}-complex. On the other hand, we give an explicit construction of the complex of variational calculus in terms of skew-symmetric
poly-differential operators. |
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Keywords: | |
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