Interacting particle models and the Pieri-type formulas : the symplectic case with non equal weights

TL;DR

This paper introduces a symplectic version of an interacting particle model with blocking and pushing interactions, related to Pieri-type formulas for the orthogonal group, expanding the mathematical framework of particle systems.

Contribution

It presents a new symplectic particle model related to Pieri formulas, extending previous orthogonal group results to the symplectic case.

Findings

Developed a symplectic particle model with blocking and pushing interactions.

Established connections between the model and Pieri-type formulas for the symplectic group.

Extended the mathematical framework for particle systems related to classical groups.

Abstract

We have introduced recently a particles model with blocking and pushing interactions which is related to a Pieri type formula for the orthogonal group. This model has a symplectic version presented here.