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- W1558099520 abstract "The direct and inverse second Noether theorems are formulated in a general case of reducible degenerate Grassmann-graded Lagrangian theory of even and odd variables on graded bundles. Such Lagrangian theory is characterized by a hierarchy of nontrivial higher-stage Noether identities which is described in the homology terms. If a certain homology regularity condition holds, one can associate with a reducible degenerate Lagrangian the exact Koszul–Tate chain complex possessing the boundary operator whose nilpotentness is equivalent to all complete nontrivial Noether and higher-stage Noether identities. The second Noether theorems associate with the above-mentioned Koszul–Tate complex a certain cochain sequence whose ascent operator consists of the gauge and higher-order gauge symmetries of a Lagrangian system. If gauge symmetries are algebraically closed, this operator is extended to the nilpotent BRST operator which brings the above-mentioned cochain sequence into the BRST complex and provides a BRST extension of an original Lagrangian." @default.
- W1558099520 created "2016-06-24" @default.
- W1558099520 creator A5038788571 @default.
- W1558099520 date "2015-01-01" @default.
- W1558099520 modified "2023-10-16" @default.
- W1558099520 title "Higher-Stage Noether Identities and Second Noether Theorems" @default.
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- W1558099520 doi "https://doi.org/10.1155/2015/127481" @default.
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