My Library: General Noether theorems

The first and second Noether theorems are formulated in a very general setting of reducible degenerate Lagrangian theories of even and odd variables on fibre bundles and

graded manifolds.

The file Library5.pdf (3 Mb) contains the attached PDF files of my main works on generalization of Noether theorems to an arbitrary Lagrangian system

Contents

G.Sardanashvily, Noether identities of a differential operator. The Koszul--Tate complex, Int. J. Geom. Methods Mod. Phys. 2 (2005) 873-886

D.Bashkirov, G.Giachetta, L.Mangiarotti and G.Sardanashvily, The antifield Koszul--Tate complex of reducible Noether identities, J. Math. Phys. 46 (2005) 103513

D.Bashkirov, G.Giachetta, L.Mangiarotti and G.Sardanashvily, The KT-BRST complex of a degenerate Lagrangian system, Lett. Math. Phys. 83 (2008) 237-252

G.Giachetta, L.Mangiarotti, G.Sardanashvily, On the notion of gauge symmetries of generic Lagrangian field theory, J. Math. Phys. 50 (2009) 012903

G.Sardanashvily, Gauge conservation laws in a general setting: Superpotential, Int. J. Geom. Methods Mod. Phys. 6 (2009) 1047-1056

G.Giachetta, L.Mangiarotti and G.Sardanashvily, Advanced Classical Field Theory  (World Scientific, Singapore, 2009)