Lie Conformal Algebra Cohomology and the Variational Complex
Author(s)De Sole, Alberto; Kac, Victor
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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 par- ticular, we give an explicit construction of the Lie conformal algebra cohomology complex, and endow it with a structure of a g-complex. On the other hand, we give an explicit con- struction of the complex of variational calculus in terms of skew-symmetric poly-differential operators.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Communications in Mathematical Phsyics
Springer Berlin / Heidelberg
de Sole, Alberto, and Victor Kac. “Lie Conformal Algebra Cohomology and the Variational Complex.” Communications in Mathematical Physics 292.3 (2009) : 667-719-719.
Author's final manuscript