arXiv subjects

Yoshitaka Toyosawa

Publications and source records attributed to Yoshitaka Toyosawa.

2 recordsLinked to original sources

arXiv2023

Poset Structure concerning Cylindric Diagrams

The purpose of the present paper is to give a realization of a cylindric diagram as a subset of root systems of type $A_{κ-1}^{(1)}$ and several characterization of its poset structure. Furthermore, the set of order ideals of a cylindric diagram is described as a weak Bruhat interval of the Weyl group.

math.CO↗

arXiv2021

On Hook Formulas for Cylindric Skew Diagrams

We present a conjectual hook formula concerning the number of the standard tableaux on "cylindric" skew diagrams. Our formula can be seen as an extension of Naruse's hook formula for skew diagrams. Moreover, we prove our conjecture in some special cases.

math.CO↗