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math-ph2025
A description of classical field equations using extensions of graded Poisson brackets
Manuel de León, Rubén Izquierdo-López
As it is well-known, Poisson brackets play a fundamental role both in mechanics and in classical field theories. In this paper we develop a theory of extensions of graded Poisson b…
math-ph2024★ 2 cited
Graded Poisson and Graded Dirac structures
Manuel de León, Rubén Izquierdo-López
There have been several attempts in recent years to extend the notions of symplectic and Poisson structures in order to create a suitable geometrical framework for classical field…