Explicit realization of bounded modules for symplectic Lie algebras: spinor versus oscillator

Vyacheslav Futorny, Dimitar Grantcharov, Luis Enrique Ramirez +1

We provide an explicit combinatorial realization of all simple and injective (hence, and projective) modules in the category of bounded $\mathfrak{sp}(2n)$-modules. This realizatio…