Reduction of ∞-Algebras of Observables on Multisymplectic Manifolds

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2024
• Автори: Blacker, Casey, Miti, Antonio Michele, Ryvkin, Leonid
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2024
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/212359
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Reduction of ∞-Algebras of Observables on Multisymplectic Manifolds. Casey Blacker, Antonio Michele Miti and Leonid Ryvkin. SIGMA 20 (2024), 061, 47 pages

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...