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Symmetry, Integrability and Geometry: Methods and Applications, 2021, Volume 17, 089, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2021.089 (Mi sigma1771) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Virasoro Action on the $Q$-Functions

Kazuya Aokagea, Eriko Shinkawab, Hiro-Fumi Yamadac

a Department of Mathematics, National Institute of Technology, Ariake College, Fukuoka 836-8585, Japan
b Advanced Institute for Materials Research, Tohoku University, Sendai 980-8577, Japan
c Department of Mathematics, Kumamoto University, Kumamoto 860-8555, Japan
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DOI: https://doi.org/10.3842/SIGMA.2021.089
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 $L_{-k}Q_{\lambda}$, where $L_{-k}$ $(k\geq 1)$ is the Virasoro operator.
Keywords: $Q$-functions, Virasoro operators.
Funding agency Grant number
Japan Society for the Promotion of Science 17K05180
The funding was provided by KAKENHI (Grant No. 17K05180).
Received: June 10, 2021; in final form October 5, 2021; Published online October 8, 2021
Bibliographic databases:
Document Type: Article
MSC: 17B68, 05E10
Language: English
Citation: Kazuya Aokage, Eriko Shinkawa, Hiro-Fumi Yamada, “Virasoro Action on the $Q$-Functions”, SIGMA, 17 (2021), 089, 12 pp.
Citation in format AMSBIB
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\by Kazuya~Aokage, Eriko~Shinkawa, Hiro-Fumi~Yamada
\paper Virasoro Action on the $Q$-Functions
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\vol 17
\papernumber 089
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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