English

A bialternant formula for odd symplectic characters and its application

Combinatorics 2021-02-08 v1

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.

Keywords

Cite

@article{arxiv.1905.12964,
  title  = {A bialternant formula for odd symplectic characters and its application},
  author = {Soichi Okada},
  journal= {arXiv preprint arXiv:1905.12964},
  year   = {2021}
}
R2 v1 2026-06-23T09:32:56.202Z