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

A bialternant formula for odd symplectic characters and its application