Explore a 55-minute lecture on the monogamy of highly symmetric states presented by Ion Nechita from the Centre National de la Recherche Scientifique at IPAM's Tensor Networks Workshop. Delve into the study of entanglement between particles on a complete graph Kn, focusing on Werner, isotropic, and Brauer states. Discover how the question of maximum entanglement is formalized as a semidefinite program and solved analytically using representation theory tools. Learn about the exact maximum values of projection to the maximally entangled state and antisymmetric Werner state, addressing long-standing open problems in the field. Gain insights from this collaborative research effort, which is also available on arXiv:2309.16655.