8 citations · 24 across the 7 of their papers we have counts for
3 papers · 1 filter
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…
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…
Kac-Wakimoto character formula for the general linear Lie superalgebra
Michael Chmutov, Crystal Hoyt, Shifra Reif
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 gene…