Resonance in orbits of plane partitions
نویسندگان
چکیده
We introduce a new concept of resonance on discrete dynamical systems. Our main result is an equivariant bijection between plane partitions in a box under rowmotion and increasing tableaux under K-promotion, using a generalization of the equivariance of promotion and rowmotion [J. Striker–N. Williams ’12] to higher dimensional lattices. This theorem implies new results for K-promotion and new proofs of previous results on plane partitions. Résumé. Nous introduisons le nouveau concept de résonance pour les systèmes dynamiques discrets. Notre résultat principal est une bijection équivariante entre partitions planes dans une boı̂te sous rowmotion et tableaux croissants sous K-promotion, en utilisant une généralisation de la équivariance de promotion et de rowmotion [J. Striker– N. Williams ‘12] aux treillis en dimensions supérieures. Ce théorème implique de nouveaux résultats pour Kpromotion et de nouvelles preuves de résultats connus pour partitions planes.
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