León Delgado, Néstor: Lagrangian field theories: ind/pro-approach and L-algebra of local observables. - Bonn, 2018. - Dissertation, Rheinische Friedrich-Wilhelms-Universität Bonn.
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5n-50257
@phdthesis{handle:20.500.11811/7534,
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5n-50257,
author = {{Néstor León Delgado}},
title = {Lagrangian field theories: ind/pro-approach and L-algebra of local observables},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2018,
month = may,

note = {Field Theories in Physics can be formulated giving a local Lagrangian density. Locality is imposed using the infinite jet bundle. That bundle is viewed as a pro-finite dimensional smooth manifold and that point of view has been compared to different topological and Frechét structures on it. A category of local (insular) manifolds has been constructed. Noether's second theorem is reviewed and the notion of Lie pseudogroups is explored using these concepts.
The L-algebra of local observables is defined depending only on the cohomology of the Lagrangian (using a result in multisymplectic manifold which has been extended to the local category). That local pre-multisymplectic form, called the Poincaré-Cartan can be thought of as a coordinate free, cohomological version of other similar structures in the field.},

url = {http://hdl.handle.net/20.500.11811/7534}
}

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