New operads revolutionize combinatorial models for multipermutations and multiposets!
The article introduces a new type of mathematical structure called -signaletic operads, which are related to other known operads. The researchers show that these operads have dual versions that can be used to study multipermutations. They also demonstrate that these dual operads act on multipermutations in a way that helps understand their properties. Additionally, the researchers explore similar operations on multiposets, leading to the discovery of a new operad related to the -operad.