中国物理B ›› 2025, Vol. 34 ›› Issue (1): 10203-010203.doi: 10.1088/1674-1056/ad925b
Jingfan Wang(王竸凡), and Zhaowen Yan(颜昭雯)†
Jingfan Wang(王竸凡), and Zhaowen Yan(颜昭雯)†
摘要: We construct the quantum fields presentation of the generalized universal character and the generalized B-type universal character, and by acting the quantum fields presentations to the constant $1$, the generating functions are derived. Furthermore, we introduce two integrable systems known as the generalized UC (GUC) hierarchy and the generalized B-type UC (GBUC) hierarchy satisfied by the generalized universal character and the generalized B-type universal character, respectively. Based on infinite sequences of complex numbers, we further establish the multiparameter generalized universal character and the multiparameter generalized B-type universal character, which have been proved to be solutions of the GUC hierarchy and the GBUC hierarchy, respectively.
中图分类号: (Rings and algebras)