Character formula for infinite-dimensional unitarizable modules of the general linear superalgebra.
Resource
Journal of Algebra,273(2),780-805.
Journal
Journal of Algebra
Pages
780-805
Date Issued
2004-01
Date
2004-01
Author(s)
Cheng, Shun-Jen
Lam, Ngau
Zhang, R. B.
Abstract
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. © 2004 Elsevier Inc. All rights reserved.
Type
journal article