%0 Journal Article
%T Kac-Wakimoto character formula for the general linear Lie superalgebra
%A Michael Chmutov
%A Crystal Hoyt
%A Shifra Reif
%J Mathematics
%D 2013
%I arXiv
%X Character formulas for Lie superalgebras have been shown to have important applications to number theory and combinatorics. We prove the Kac-Wakimoto character formula for the general linear Lie superalgebra gl(m|n). This formula specializes to the well-known Kac-Weyl character formula when the modules are typical and to the Weyl denominator identity when the module is trivial. We also prove a determinantal character formula for KW-modules using the Kac-Wakimoto character formula.
%U http://arxiv.org/abs/1310.3798v1