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Symmetry, Integrability and Geometry: Methods and Applications, 2025, Volume 21, 080, 19 pp.
DOI: https://doi.org/10.3842/SIGMA.2025.080 (Mi sigma2196) 		 
Skew Plücker Relations

Kazuya Aokagea, Eriko Shinkawab, Hiro-Fumi Yamadac

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
Full-text PDF (365 kB)
DOI: https://doi.org/10.3842/SIGMA.2025.080
URL: https://www.emis.de/journals/SIGMA/2025/080/
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.
Funding agency Grant number
Japan Society for the Promotion of Science 21K03208
22K03260
24K06859
25K06947
The funding was provided by KAKENHI (Grant No. 21K03208, 22K03260, 24K06859, 25K06947).
Received: April 14, 2025; in final form September 17, 2025; Published online September 30, 2025
Bibliographic databases:
Document Type: Article
MSC: 05E05, 15A63, 37K10
Language: English
Citation: Kazuya Aokage, Eriko Shinkawa, Hiro-Fumi Yamada, “Skew Plücker Relations”, SIGMA, 21 (2025), 080, 19 pp.
Citation in format AMSBIB
\Bibitem{AokShiYam25}
\by Kazuya~Aokage, Eriko~Shinkawa, Hiro-Fumi~Yamada
\paper Skew Pl\"ucker Relations
\jour SIGMA
\yr 2025
\vol 21
\papernumber 080
\totalpages 19
\mathnet{http://mi.mathnet.ru/sigma2196}
\crossref{https://doi.org/10.3842/SIGMA.2025.080}
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