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 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. © Springer-Verlag 2009.

Lie conformal algebra cohomology and the variational complex / DE SOLE, Alberto; Victor G., Kac. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - STAMPA. - 292:3(2009), pp. 667-719. [10.1007/s00220-009-0886-1]

Lie conformal algebra cohomology and the variational complex

DE SOLE, ALBERTO;
2009

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 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. © Springer-Verlag 2009.
2009
cohomology; conformal algebras; variational calculus
01 Pubblicazione su rivista::01a Articolo in rivista
Lie conformal algebra cohomology and the variational complex / DE SOLE, Alberto; Victor G., Kac. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - STAMPA. - 292:3(2009), pp. 667-719. [10.1007/s00220-009-0886-1]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/143479
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