For nonzero central charge, simple weight modules over the symplectic oscillator algebra g_n are classified into three explicit families, via an equivalence with the BGG category of sp_{2n}.
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The category of weight modules for symplectic oscillator Lie algebras
For nonzero central charge, simple weight modules over the symplectic oscillator algebra g_n are classified into three explicit families, via an equivalence with the BGG category of sp_{2n}.