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math.QA2003
Quasi-finite representations,free field realizations,and character formulae of Lie superalgebras of infinite rank
N. Lam, R. B. Zhang
We classify the quasi-finite irreducible highest weight modules over the infinite rank Lie superalgebras $\hgltwo$, $\hC$ and $\hD$, and determine the necessary and sufficient cond…
math.RT2003★ 1 cited
Character Formula for Infinite Dimensional Unitarizable Modules of the General Linear Superalgebra
Shun-Jen Cheng, Ngau Lam, R. B. Zhang
The Fock space of bosonic and fermionic quantum oscillators forms a unitarizable module of the general linear superalgebra . Its tensor powers decompose i…