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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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2021
Hauptverfasser: Aokage, Kazuya, Shinkawa, Eriko, Yamada, Hiro-Fumi
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2021
Online Zugang: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
Zitieren:Virasoro Action on the -Functions. Kazuya Aokage, Eriko Shinkawa and Hiro-Fumi Yamada. SIGMA 17 (2021), 089, 12 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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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
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
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language English
last_indexed 2026-03-18T05:19:50Z
publishDate 2021
publisher Інститут математики НАН України
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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
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AT shinkawaeriko virasoroactiononthefunctions
AT yamadahirofumi virasoroactiononthefunctions