The paper explores the relationship between entanglement and strong symmetries in open quantum systems. The authors find that strong non-Abelian symmetries can lead to highly entangled stationary states, even in the absence of symmetries. They derive exact expressions for various entanglement measures, such as logarithmic negativity, Rényi negativities, and operator space entanglement, for stationary states restricted to one symmetric subspace. The results are based on the commutant algebra formalism, which characterizes strongly conserved quantities. For Abelian symmetries like U(1), the stationary states are separable, while for non-Abelian symmetries like SU(N), highly entangled states can be achieved. The paper also discusses classical and quantum fragmentation, where the commutant algebra has exponentially large dimensions, leading to different scaling behaviors for entanglement measures. The authors provide analytical expressions and numerical data to support their findings, highlighting the impact of symmetries on the entanglement properties of stationary states in open quantum systems.The paper explores the relationship between entanglement and strong symmetries in open quantum systems. The authors find that strong non-Abelian symmetries can lead to highly entangled stationary states, even in the absence of symmetries. They derive exact expressions for various entanglement measures, such as logarithmic negativity, Rényi negativities, and operator space entanglement, for stationary states restricted to one symmetric subspace. The results are based on the commutant algebra formalism, which characterizes strongly conserved quantities. For Abelian symmetries like U(1), the stationary states are separable, while for non-Abelian symmetries like SU(N), highly entangled states can be achieved. The paper also discusses classical and quantum fragmentation, where the commutant algebra has exponentially large dimensions, leading to different scaling behaviors for entanglement measures. The authors provide analytical expressions and numerical data to support their findings, highlighting the impact of symmetries on the entanglement properties of stationary states in open quantum systems.