Grassmann-graded Lagrangian theory of even and odd variables
arXiv:1206.2508
Abstract
Graded Lagrangian formalism in terms of a Grassmann-graded variational bicomplex on graded manifolds is developed in a very general setting. This formalism provides the comprehensive description of reducible degenerate Lagrangian systems, characterized by hierarchies of non-trivial higher-order Noether identities and gauge symmetries. This is a general case of classical field theory and Lagrangian non-relativistic mechanics.
36 pp. arXiv admin note: text overlap with arXiv:0908.1886, arXiv:0708.2434