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 $L_{-k}Q_{\lambda}$, where $L_{-k}$ $(k\geq 1)$ is the Virasoro operator.
- Publication:
-
SIGMA
- Pub Date:
- October 2021
- DOI:
- 10.3842/SIGMA.2021.089
- arXiv:
- arXiv:2106.04773
- Bibcode:
- 2021SIGMA..17..089A
- Keywords:
-
- Q-functions; Virasoro operators;
- Mathematical Physics;
- 17B68;
- 05E10
- E-Print:
- SIGMA 17 (2021), 089, 12 pages