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math.RT2014
A superdimension formula for gl(m|n) modules
Michael Chmutov, Rachel Karpman, Shifra Reif
We give a formula for the superdimension of a finite-dimensional simple gl(m|n)-module using the Su-Zhang character formula. As a corollary, we obtain a simple algebraic proof of a…
math.RT2014
A Weyl-Type character formula for PDC modules of gl(m|n)
Michael Chmutov, Crystal Hoyt, Shifra Reif
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 hig…