English

Balanced shifted tableaux

Combinatorics 2022-03-24 v1

Abstract

We introduce balanced shifted tableaux, as an analogue of balanced tableaux of Edelman and Greene, from the perspective of root systems of type B and C. We show that they are equinumerous to standard Young tableaux of the corresponding shifted shape by presenting an explicit bijection.

Keywords

Cite

@article{arxiv.2203.12492,
  title  = {Balanced shifted tableaux},
  author = {Jiyang Gao and Shiliang Gao and Yibo Gao},
  journal= {arXiv preprint arXiv:2203.12492},
  year   = {2022}
}

Comments

20 pages

R2 v1 2026-06-24T10:23:32.143Z