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April 1, 20260 citationsOpen Access

A bialternant formula for odd symplectic characters and its application

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聡岡聡一 岡田

Key Points

  • To introduce a bialternant formula for odd symplectic characters and demonstrate its application.
  • Developed a bialternant formula for odd symplectic characters
  • Provided a linear algebraic proof for an existing character identity.
  • Introduced a new formula that enhances understanding of odd symplectic characters
  • Verified an identity related to odd symplectic characters, contributing to existing literature.

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.

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Cite This Study

聡一 岡田 (2020) studied this question.

synapsesocial.com/papers/69cd7b695652765b073a9752https://doi.org/10.20566/13447777_12_99
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