Virasoro Action on the Q-Functions

@article{Aokage2021VirasoroAO,
  title={Virasoro Action on the Q-Functions},
  author={Kazuya Aokage and Eriko Shinkawa and Hiro-Fumi Yamada},
  journal={Symmetry, Integrability and Geometry: Methods and Applications},
  year={2021}
}
Virasoro Action on the Q-Functions Kazuya AOKAGE a, Eriko SHINKAWA b and Hiro-Fumi YAMADA c a) Department of Mathematics, National Institute of Technology, Ariake College, Fukuoka 836-8585, Japan E-mail: aokage@ariake-nct.ac.jp b) Advanced Institute for Materials Research, Tohoku University, Sendai 980-8577, Japan E-mail: eriko.shinkawa.e8@tohoku.ac.jp c) Department of Mathematics, Kumamoto University, Kumamoto 860-8555, Japan E-mail: hfyamada@kumamoto-u.ac.jp Received June 10, 2021, in final… 

References

SHOWING 1-9 OF 9 REFERENCES
Pfaffian identities and Virasoro operators
A formula for Schur Q -functions is presented which describes the action of the Virasoro operators. For a strict partition $$\lambda =(\lambda _1,\lambda _2,\ldots ,\lambda _{2m})$$ λ = ( λ 1 , λ 2 ,
Solitons and Infinite Dimensional Lie Algebras
Introduction §1. Fock Representation of gf(°°) §2. T Functions and the KP Hierarchy §3. Reduction to A[" §4. Fermions with 2 Components §5. Algebras B^ and Co §6. Spin Representation of J&TO §7.
The Fock representations of the Virasoro algebra and the Hirota equations of the modified KP hierarchies
On etudie la relation entre le produit tensoriel de deux representations de Fock et les equations de Hirota de la hierarchie K-P
Projective representations of the symmetric groups - Q-functions and shifted tableaux
TLDR
A construction for negative representations of the irreducible negative representation of Sn and the shifted Knuth algorithm is presented, which simplifies the construction of representation groups for symmetric groups.
Pfaffian identities and Virasoro
  • operators, Lett. Math. Phys
  • 2020
Q-Polynomial expansion for Brezin-Gross-Witten tau-function
  • Xiaobo Liu, Chenglang Yang
  • Physics, Mathematics
  • 2021
In this paper, we prove a conjecture of Alexandrov that the generalized BrezinGross-Witten tau-functions are hypergeometric tau functions of BKP hierarchy after re-scaling. In particular, this shows
Reduced Fock representation of the Virasoro algebra
  • Proceedings of the 35th Symposium on Algebraic Combinatorics
  • 2018
Reduced Fock representation of the Virasoro algebra
  • Proceedings of the 35th Symposium on Algebraic Combinatorics,
  • 2018
PROJECTIVE REPRESENTATIONS OF THE SYMMETRIC GROUPS