A bialternant formula for odd symplectic characters and its application

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.