Skew Plücker Relations

Kazuya Aokage^a, Eriko Shinkawa^b, Hiro-Fumi Yamada<sup>c

a</sup> Department of Mathematics, National Institute of Technology, Ariake College, Fukuoka 836-8585, Japan
^b Mathematical Science Center for Co-creative Society, Tohoku University, Sendai 980-8577, Japan
^c Department of Mathematics, Rikkyo University, Tokyo 171-8501, Japan

Abstract: Schur functions satisfy the relative Plücker relations which describe the projective embedding of the flag varieties and the Hirota bilinear equations for the modified KP hierarchies. These relative Plücker relations are generalized to the skew Schur functions.

Keywords: Plücker relations, skew Schur functions.

MSC: 05E05, 15A63, 37K10

Received: April 14, 2025; in final form September 17, 2025; Published online September 30, 2025

Language: English

DOI: 10.3842/SIGMA.2025.080

ArXiv: 2504.08293