A bialternant formula for odd symplectic characters and its application

Abstract

We present a bialternant formula for odd symplectic characters, which are the characters of indecomposable modules of odd symplectic groups introduced by R. Proctor. As an application, we give a linear algebraic proof to an odd symplectic character identity due to R. P. Brent, C. Krattenthaler and S. O. Warnaar.