Calculus structure on the Lie conformal algebra complex and the variational complex

Alberto De Sole, Pedram Hekmati, Victor G. Kac
2011 Journal of Mathematical Physics  
We construct a calculus structure on the Lie conformal algebra cochain complex. By restricting to degree one chains, we recover the structure of a g-complex introduced in [DSK]. A special case of this construction is the variational calculus, for which we provide explicit formulas.
doi:10.1063/1.3580676 fatcat:vdhynxe42rdplowsxlhym53sfu