Skew Plücker Relations
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.
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2025 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2025
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/214088 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Skew Plücker Relations. Kazuya Aokage, Eriko Shinkawa and Hiro-Fumi Yamada. SIGMA 21 (2025), 080, 19 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862537299726696448 |
|---|---|
| author | Aokage, Kazuya Shinkawa, Eriko Yamada, Hiro-Fumi |
| author_facet | Aokage, Kazuya Shinkawa, Eriko Yamada, Hiro-Fumi |
| citation_txt | Skew Plücker Relations. Kazuya Aokage, Eriko Shinkawa and Hiro-Fumi Yamada. SIGMA 21 (2025), 080, 19 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
|
| first_indexed | 2026-03-21T11:45:51Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-214088 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T11:45:51Z |
| publishDate | 2025 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Aokage, Kazuya Shinkawa, Eriko Yamada, Hiro-Fumi 2026-02-19T11:09:06Z 2025 Skew Plücker Relations. Kazuya Aokage, Eriko Shinkawa and Hiro-Fumi Yamada. SIGMA 21 (2025), 080, 19 pages 1815-0659 2020 Mathematics Subject Classification: 05E05; 15A63; 37K10 arXiv:2504.08293 https://nasplib.isofts.kiev.ua/handle/123456789/214088 https://doi.org/10.3842/SIGMA.2025.080 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. We are deeply grateful to the anonymous referees for their constructive comments that helped improve the paper. The funding was provided by KAKENHI (Grant No. 21K03208, 22K03260, 24K06859, 25K06947). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Skew Plücker Relations Article published earlier |
| spellingShingle | Skew Plücker Relations Aokage, Kazuya Shinkawa, Eriko Yamada, Hiro-Fumi |
| title | Skew Plücker Relations |
| title_full | Skew Plücker Relations |
| title_fullStr | Skew Plücker Relations |
| title_full_unstemmed | Skew Plücker Relations |
| title_short | Skew Plücker Relations |
| title_sort | skew plücker relations |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/214088 |
| work_keys_str_mv | AT aokagekazuya skewpluckerrelations AT shinkawaeriko skewpluckerrelations AT yamadahirofumi skewpluckerrelations |