Multiparameter generalized universal characters and multiparameter generalized B-type universal characters

doi:10.1088/1674-1056/ad925b

Abstract 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.

Keywords: symmetric functions quantum fields generating functions multiparameter generalized universal characters

Received: 04 October 2024
Revised: 07 November 2024
Accepted manuscript online: 14 November 2024

PACS:	02.10.Hh	(Rings and algebras)
	02.30.Ik	(Integrable systems)
	05.45.Yv	(Solitons)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 12461048 and 12061051), the Natural Science Foundation of Inner Mongolia Autonomous Region (Grant No. 2023MS01003), and the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region (Grant No. NJYT23096). Zhaowen Yan acknowledges the financial support from the Program of China Scholarships Council (Grant No. 202306810054) for one year study at the University of Leeds.

Corresponding Authors: Zhaowen Yan
E-mail: yanzw@imu.edu.cn

Cite this article:

Jingfan Wang(王竸凡) and Zhaowen Yan(颜昭雯) Multiparameter generalized universal characters and multiparameter generalized B-type universal characters 2025 Chin. Phys. B 34 010203

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