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Type C transpositions and strong marked tableaux

  • Yaozhou Fang
  • Xing Gao
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Abstract

Motivated by the Morse--Seelinger conjecture on type C k-Schur functions, we develop a permutation model for type C strong marked tableaux. Using type C transpositions, we give an explicit correspondence with the symmetric-core model that preserves the marking data. We also describe the induced affine Weyl group action on bounded partitions.

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Cite

BibTeXRIS
BibTeX
@misc{fang2026type,
  title = {{Type C transpositions and strong marked tableaux}},
  author = {Yaozhou Fang and Xing Gao},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.15178},
  eprint = {2609.15178},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.15178},
}
RIS
TY  - UNPB
TI  - Type C transpositions and strong marked tableaux
AU  - Yaozhou Fang
AU  - Xing Gao
PY  - 2026
DA  - 2026/09/14
PB  - arXiv
DO  - 10.48550/arxiv.2609.15178
UR  - https://arxiv.org/abs/2609.15178
AB  - Motivated by the Morse--Seelinger conjecture on type C k-Schur functions, we develop a permutation model for type C strong marked tableaux. Using type C transpositions, we give an explicit correspondence with the symmetric-core model that preserves the marking data. We also describe the induced affine Weyl group action on bounded partitions.
ER  -