Character formula for infinite-dimensional unitarizable modules of the general linear superalgebra

Shun Jen Cheng, Ngau Lam, R. B. Zhang

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18 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)780-805
Number of pages26
JournalJournal of Algebra
Issue number2
Publication statusPublished - 2004 Mar 15


All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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