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PreprintCC BY 4.0arXiv

Character expansions and affine Jacobi-Trudi identities

  • Ilse Fischer
  • Moritz Gangl
  • Álvaro Gutiérrez
  • Nishu Kumari
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Abstract

We provide character expansions of certain specialisations of multiparameter Hall--Littlewood polynomials of types Bn, Cn, and BCn for rectangular shapes. We use these expansions to establish the six Jacobi-Trudi-type identities conjectured by Ole Warnaar in 2025.

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Cite

BibTeXRIS
BibTeX
@misc{fischer2026character,
  title = {{Character expansions and affine Jacobi-Trudi identities}},
  author = {Ilse Fischer and Moritz Gangl and Álvaro Gutiérrez and Nishu Kumari},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.08500},
  eprint = {2610.08500},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.08500},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Character expansions and affine Jacobi-Trudi identities
AU  - Ilse Fischer
AU  - Moritz Gangl
AU  - Álvaro Gutiérrez
AU  - Nishu Kumari
PY  - 2026
DA  - 2026/10/06
PB  - arXiv
DO  - 10.48550/arxiv.2610.08500
UR  - https://arxiv.org/abs/2610.08500
AB  - We provide character expansions of certain specialisations of multiparameter Hall--Littlewood polynomials of types B_n, C_n, and BC_n for rectangular shapes. We use these expansions to establish the six Jacobi-Trudi-type identities conjectured by Ole Warnaar in 2025.
ER  -