Presents a bialternant formula and proves a character identity for odd symplectic groups, highlighting new mathematical insights.
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.
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聡一 岡田 (2020) studied this question.
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