Matches in SemOpenAlex for { <https://semopenalex.org/work/W184098314> ?p ?o ?g. }
Showing items 1 to 70 of
70
with 100 items per page.
- W184098314 abstract "The first and 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 non-trivial higher-stage Noether identities and the corresponding higher-stage gauge symmetries which are described in the homology terms. In these terms, the second Noether theorems associate to the Koszul - Tate chain complex of higher-stage Noether identities the gauge cochain sequence whose ascent operator provides higher-order gauge symmetries of Lagrangian theory. If gauge symmetries are algebraically closed, this operator is extended to the nilpotent BRST operator which brings the gauge cochain sequence into the BRST complex. In this framework, the first Noether theorem is formulated as a straightforward corollary of the first variational formula. It associates to any variational Lagrangian symmetry the conserved current whose total differential vanishes on-shell. We prove in a general setting that a conserved current of a gauge symmetry is reduced to a total differential on-shell. The physically relevant examples of gauge theory on principal bundles, gauge gravitational theory on natural bundles, topological Chern - Simons field theory and topological BF theory are present. The last one exemplifies a reducible Lagrangian system." @default.
- W184098314 created "2016-06-24" @default.
- W184098314 creator A5038788571 @default.
- W184098314 date "2014-11-11" @default.
- W184098314 modified "2023-09-27" @default.
- W184098314 title "Noether theorems in a general setting" @default.
- W184098314 cites W1504011702 @default.
- W184098314 cites W2040941018 @default.
- W184098314 cites W2081442103 @default.
- W184098314 cites W2085698319 @default.
- W184098314 cites W2106902139 @default.
- W184098314 cites W2964062455 @default.
- W184098314 hasPublicationYear "2014" @default.
- W184098314 type Work @default.
- W184098314 sameAs 184098314 @default.
- W184098314 citedByCount "2" @default.
- W184098314 countsByYear W1840983142015 @default.
- W184098314 crossrefType "posted-content" @default.
- W184098314 hasAuthorship W184098314A5038788571 @default.
- W184098314 hasConcept C147247565 @default.
- W184098314 hasConcept C181830111 @default.
- W184098314 hasConcept C202444582 @default.
- W184098314 hasConcept C206237540 @default.
- W184098314 hasConcept C33923547 @default.
- W184098314 hasConcept C37914503 @default.
- W184098314 hasConcept C39366733 @default.
- W184098314 hasConcept C50555996 @default.
- W184098314 hasConcept C53469067 @default.
- W184098314 hasConcept C56907000 @default.
- W184098314 hasConcept C80892491 @default.
- W184098314 hasConcept C95857938 @default.
- W184098314 hasConceptScore W184098314C147247565 @default.
- W184098314 hasConceptScore W184098314C181830111 @default.
- W184098314 hasConceptScore W184098314C202444582 @default.
- W184098314 hasConceptScore W184098314C206237540 @default.
- W184098314 hasConceptScore W184098314C33923547 @default.
- W184098314 hasConceptScore W184098314C37914503 @default.
- W184098314 hasConceptScore W184098314C39366733 @default.
- W184098314 hasConceptScore W184098314C50555996 @default.
- W184098314 hasConceptScore W184098314C53469067 @default.
- W184098314 hasConceptScore W184098314C56907000 @default.
- W184098314 hasConceptScore W184098314C80892491 @default.
- W184098314 hasConceptScore W184098314C95857938 @default.
- W184098314 hasLocation W1840983141 @default.
- W184098314 hasOpenAccess W184098314 @default.
- W184098314 hasPrimaryLocation W1840983141 @default.
- W184098314 hasRelatedWork W1497826941 @default.
- W184098314 hasRelatedWork W1500130889 @default.
- W184098314 hasRelatedWork W1701806135 @default.
- W184098314 hasRelatedWork W1736198912 @default.
- W184098314 hasRelatedWork W1799326351 @default.
- W184098314 hasRelatedWork W1982384640 @default.
- W184098314 hasRelatedWork W1992446338 @default.
- W184098314 hasRelatedWork W1998996679 @default.
- W184098314 hasRelatedWork W2073359207 @default.
- W184098314 hasRelatedWork W2083019677 @default.
- W184098314 hasRelatedWork W2106902139 @default.
- W184098314 hasRelatedWork W2151662786 @default.
- W184098314 hasRelatedWork W2164362335 @default.
- W184098314 hasRelatedWork W2167217770 @default.
- W184098314 hasRelatedWork W3100107507 @default.
- W184098314 hasRelatedWork W3102460913 @default.
- W184098314 hasRelatedWork W3103289723 @default.
- W184098314 hasRelatedWork W3104932801 @default.
- W184098314 hasRelatedWork W3164854712 @default.
- W184098314 hasRelatedWork W323802784 @default.
- W184098314 isParatext "false" @default.
- W184098314 isRetracted "false" @default.
- W184098314 magId "184098314" @default.
- W184098314 workType "article" @default.