Representations of Lie superalgebras with Fusion Flags
Representations of Lie superalgebras with Fusion Flags
We study the category of finite-dimensional representations for a basic classical Lie superalgebra |${\mathfrak{g}}={\mathfrak{g}}_0\oplus {\mathfrak{g}}_1$|. For the ortho-symplectic Lie superalgebra |${\mathfrak{g}}=\mathfrak{osp}(1,2n),$| we show that various objects in that category admit a fusion flag, that is, a sequence of graded |${\mathfrak{g}}_0[t]$|-modules such that the successive quotients are isomorphic to fusion products. …