Jacobi-Trudi type formula for character of irreducible representations of $\mathfrak{gl}(m|1)$

Nguyen Luong Thai Binh, Nguyen Thi Phuong Dung, Phung Ho Hai

We prove a determinantal type formula to compute the irreducible characters of the general Lie superalgebra $\mathfrak{gl}(m|1)$ in terms of the characters of the symmetric powers…