Virasoro Action on the -Functions
A formula for Schur -functions is presented, which describes the action of the Virasoro operators. For a strict partition, we prove a concise formula for ₋ₖλ, where ₋ₖ ( ≥ 1) is the Virasoro operator.
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2021 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2021
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/211438 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Virasoro Action on the -Functions. Kazuya Aokage, Eriko Shinkawa and Hiro-Fumi Yamada. SIGMA 17 (2021), 089, 12 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862695252543930368 |
|---|---|
| author | Aokage, Kazuya Shinkawa, Eriko Yamada, Hiro-Fumi |
| author_facet | Aokage, Kazuya Shinkawa, Eriko Yamada, Hiro-Fumi |
| citation_txt | Virasoro Action on the -Functions. Kazuya Aokage, Eriko Shinkawa and Hiro-Fumi Yamada. SIGMA 17 (2021), 089, 12 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | A formula for Schur -functions is presented, which describes the action of the Virasoro operators. For a strict partition, we prove a concise formula for ₋ₖλ, where ₋ₖ ( ≥ 1) is the Virasoro operator.
|
| first_indexed | 2026-03-18T05:19:50Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211438 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-18T05:19:50Z |
| publishDate | 2021 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Aokage, Kazuya Shinkawa, Eriko Yamada, Hiro-Fumi 2026-01-02T08:33:39Z 2021 Virasoro Action on the -Functions. Kazuya Aokage, Eriko Shinkawa and Hiro-Fumi Yamada. SIGMA 17 (2021), 089, 12 pages 1815-0659 2020 Mathematics Subject Classification: 17B68; 05E10 arXiv:2106.04773 https://nasplib.isofts.kiev.ua/handle/123456789/211438 https://doi.org/10.3842/SIGMA.2021.089 A formula for Schur -functions is presented, which describes the action of the Virasoro operators. For a strict partition, we prove a concise formula for ₋ₖλ, where ₋ₖ ( ≥ 1) is the Virasoro operator. After completing the draft of the present paper, we had a chance to see the preprint [4], where the same formula as ours is proved as a part of the authors’ theory on BGW tau functions. Since the proof is slightly different, we decided to keep our proof in the present paper. We are grateful to the referees for informing us [4], as well as for other useful comments that improved the paper. The funding was provided by KAKENHI (Grant No. 17K05180). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Virasoro Action on the -Functions Article published earlier |
| spellingShingle | Virasoro Action on the -Functions Aokage, Kazuya Shinkawa, Eriko Yamada, Hiro-Fumi |
| title | Virasoro Action on the -Functions |
| title_full | Virasoro Action on the -Functions |
| title_fullStr | Virasoro Action on the -Functions |
| title_full_unstemmed | Virasoro Action on the -Functions |
| title_short | Virasoro Action on the -Functions |
| title_sort | virasoro action on the -functions |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211438 |
| work_keys_str_mv | AT aokagekazuya virasoroactiononthefunctions AT shinkawaeriko virasoroactiononthefunctions AT yamadahirofumi virasoroactiononthefunctions |