Lie Conformal Algebra Cohomology and the Variational Complex
Name
Kac Lie Conformal Algebra....pdf
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Author(s)
De Sole, Alberto
Kac, Victor
Date Issued
August 2009
Journal
Communications in Mathematical Phsyics
Publisher
Springer Berlin / Heidelberg
Citation
de Sole, Alberto, and Victor Kac. “Lie Conformal Algebra Cohomology and the Variational Complex.” Communications in Mathematical Physics 292.3 (2009) : 667-719-719.
Version
Author's final manuscript
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 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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s00220-009-0886-1
