• On k-polycosymplectic Marsden–Weinstein reductions 

      Lucas, Javier de; Rivas, Xavier; Vilariño, Silvia; Zawora, Bartosz M. (Journal of Geometry and Physics, 2023)
      We review and slightly improve the known k-polysymplectic Marsden–Weinstein reduction theory by removing some technical conditions on k-polysymplectic momentum maps by developing a theory of affine Lie group actions for ...
    • Reduction and reconstruction of multisymplectic Lie systems 

      Lucas, Javier de; Gracia, Xavier; Rivas, Xavier; Román-Roy, Narciso; Vilariño, Silvia (Journal of Physics A: Mathematical and Theoretical, 07/2022)
      A Lie system is a non-autonomous system of first-order ordinary differential equations describing the integral curves of a non-autonomous vector field taking values in a finite-dimensional real Lie algebra of vector fields, ...