Lie conformal algebra cohomology and the variational complex
Quantum Algebra
2015-12-18 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.0812.4897,
title = {Lie conformal algebra cohomology and the variational complex},
author = {Alberto De Sole and Victor Kac},
journal= {arXiv preprint arXiv:0812.4897},
year = {2015}
}
Comments
56 pages