@article{a4f41f62ed6b481f9336013b692794d5,

title = "Virasoro Action on the Q-Functions",

abstract = "A formula for Schur Q-functions is presented which describes the action of the Virasoro operators. For a strict partition, we prove a concise formula for L−k Qλ, where L−k (k ≥ 1) is the Virasoro operator.",

keywords = "Q-functions, Virasoro operators",

author = "Kazuya Aokage and Eriko Shinkawa and Yamada, {Hiro Fumi}",

note = "Funding Information: 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 authors{\textquoteright} 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 [4] to us, as well as other useful comments which improved the paper. The funding was provided by KAKENHI (Grant No. 17K05180). Publisher Copyright: {\textcopyright} 2021, Institute of Mathematics. All rights reserved.",

year = "2021",

doi = "10.3842/SIGMA.2021.089",

language = "English",

volume = "17",

journal = "Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)",

issn = "1815-0659",

publisher = "Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine",

}