2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57920We consider a quantum integrable inhomogeneous model based on the Brauer algebra B(1) and discuss the properties of its ground state eigenvector. In particular we derive various sum rules, and show how some of its entries are related to multidegrees of algebraic varieties.revised v3: filled gap in proof of thm 2Mathematical PhysicsAlgebraic GeometryCombinatoricsExactly Solvable and Integrable Systemstext