Jacobi-Trudi Type Formula for Character of Irreducible Representations of
Nguyên Luong Thái Bình
,
Nguyên Thi Phuong Dung
,
Phùng Hô Hai
Abstract
We prove a determinantal type formula to compute the irreducible characters of the general Lie superalgebra
in terms of the characters of the symmetric powers of the fundamental representation and their duals. This formula was conjectured by . van der Jeugt and E. Moens for the Lie superalgebra
and generalizes the well-known Jacobi-Trudi formula.