Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)


SIGMA 21 (2025), 080, 19 pages      arXiv:2504.08293      https://doi.org/10.3842/SIGMA.2025.080

Skew Plücker Relations

Kazuya Aokage a, Eriko Shinkawa b and Hiro-Fumi Yamada c
a) 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

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

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.

Key words: Plücker relations; skew Schur functions.

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