Virasoro Action on the -Functions

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2021
• Main Authors: Aokage, Kazuya, Shinkawa, Eriko, Yamada, Hiro-Fumi
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211438
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Virasoro Action on the -Functions. Kazuya Aokage, Eriko Shinkawa and Hiro-Fumi Yamada. SIGMA 17 (2021), 089, 12 pages

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.