Lie Conformal Algebra Cohomology and the Variational Complex
Copyright policy )Lie Conformal Algebra Cohomology and the Variational Complex
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.
56 pages
- Massachusetts Institute of Technology United States
- Roma Tre University Italy
- Sapienza University of Rome Italy
- Polo Universitario Città di Prato Italy
Nonlinear Sciences - Exactly Solvable and Integrable Systems, 17B69 (Primary), 17B80 (Secondary), Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), FOS: Physical sciences, Mathematical Physics (math-ph), Exactly Solvable and Integrable Systems (nlin.SI), Mathematical Physics, cohomology; conformal algebras; variational calculus
Nonlinear Sciences - Exactly Solvable and Integrable Systems, 17B69 (Primary), 17B80 (Secondary), Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), FOS: Physical sciences, Mathematical Physics (math-ph), Exactly Solvable and Integrable Systems (nlin.SI), Mathematical Physics, cohomology; conformal algebras; variational calculus
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