Character Formula for Infinite Dimensional Unitarizable Modules of the General Linear Superalgebra
نویسنده
چکیده
The Fock space of m+p bosonic and n+q fermionic quantum oscillators forms a unitarizable module of the general linear superalgebra glm+p|n+q. Its tensor powers decompose into direct sums of infinite dimensional irreducible highest weight glm+p|n+q-modules. We obtain an explicit decomposition of any tensor power of this Fock space into irreducibles, and develop a character formula for the irreducible glm+p|n+q-modules arising in this way.
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