Reduction of ∞-Algebras of Observables on Multisymplectic Manifolds

We develop a reduction scheme for the ∞-algebra of observables on a premultisymplectic manifold (, ) in the presence of a compatible Lie algebra action ↷ and a subset ⊂ . This reproduces in the symplectic setting the Poisson algebra of observables on the Marsden-Weinstein-Meyer symplectic reduced...

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2024
Hauptverfasser: Blacker, Casey, Miti, Antonio Michele, Ryvkin, Leonid
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2024
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/212359
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Reduction of ∞-Algebras of Observables on Multisymplectic Manifolds. Casey Blacker, Antonio Michele Miti and Leonid Ryvkin. SIGMA 20 (2024), 061, 47 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine