Volume 28, Issue 3, September 2021, Pages 292 - 302
The Orthogonal and Symplectic Schur Functions, Vertex Operators and Integrable Hierarchies
Authors
Linjie Shi, Na Wang*, Minru Chen
School of Mathematics and Statistics, Henan University, Kaifeng, 475001, China
*Corresponding author: Email: wangna@henu.edu.cn
Corresponding Author
Na Wang
Received 18 March 2018, Accepted 10 March 2021, Available Online 7 April 2021.
- DOI
- 10.2991/jnmp.k.210330.001How to use a DOI?
- Keywords
- Boson-Fermion correspondence; orthogonal and symplectic schur functions; integrable hierarchy; universal character
- Abstract
In this paper, we first construct an integrable system whose solutions include the orthogonal Schur functions and the symplectic Schur functions. We find that the orthogonal Schur functions and the symplectic Schur functions can be obtained by one kind of Boson-Fermion correspondence which is slightly different from the classical one. Then, we construct a universal character which satisfies the bilinear equation of a new infinite-dimensional integrable orthogonal UC hierarchy.
- Copyright
- © 2021 The Authors. Published by Atlantis Press B.V.
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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TY - JOUR AU - Linjie Shi AU - Na Wang AU - Minru Chen PY - 2021 DA - 2021/04/07 TI - The Orthogonal and Symplectic Schur Functions, Vertex Operators and Integrable Hierarchies JO - Journal of Nonlinear Mathematical Physics SP - 292 EP - 302 VL - 28 IS - 3 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.k.210330.001 DO - 10.2991/jnmp.k.210330.001 ID - Shi2021 ER -