F∨_t⊗F for sl(∞) has a unique decreasing filtration with simple quotients S_{k+t,k} (t≥0) or S_{k,k−t} (t<0), proved via the Deligne category abelian envelope.
Brundan, Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra gl (m|n) , J
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Tensor product of the Fock representation with its dual and the Deligne category
F∨_t⊗F for sl(∞) has a unique decreasing filtration with simple quotients S_{k+t,k} (t≥0) or S_{k,k−t} (t<0), proved via the Deligne category abelian envelope.