Character formulas and tame representations for gl(m|n)
In 1994, Kac and Wakimoto suggested a generalization of Bernstein and Leites character formula for basic Lie superalgebras, and the natural question was raised: to which simple highest weight modules does it apply? They called modules that satisfy this character formula tame, and proved the formula in some special cases. In this paper, we prove a similar formula for a larger class of finite dimensional simple modules for the Lie superalgebra gl(m|n).