English

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

Rings and Algebras 2015-12-18 v1 Mathematical Physics math.MP Quantum Algebra Exactly Solvable and Integrable Systems

Abstract

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.

Keywords

Cite

@article{arxiv.1007.3707,
  title  = {Calculus structure on the Lie conformal algebra complex and the variational complex},
  author = {Alberto De Sole and Pedram Hekmati and Victor Kac},
  journal= {arXiv preprint arXiv:1007.3707},
  year   = {2015}
}

Comments

42 pages

R2 v1 2026-06-21T15:51:05.564Z