Π-TYPE FERMIONS AND π-TYPE KP HIERARCHY. (14th September 2018)

• Record Type: Journal Article
• Authors: WANG, NA; LI, CHUANZHONG
• Is Part Of: Glasgow mathematical journal. Volume 61:Part 3(2019)
• Page Start: 601
• Page End: 613
• Publication Date: 2018-09-14
• Subjects: 37K05, -- 37K10; Mathematics -- Periodicals; 510
• DOI: 10.1017/S0017089518000381
• Languages: English
• ISSNs: 0017-0895

Abstract

Abstract: In this paper, we first construct π -type Fermions. According to these, we define π -type Boson–Fermion correspondence which is a generalization of the classical Boson–Fermion correspondence. We can obtain π -type symmetric functions S λ π from the π -type Boson–Fermion correspondence, analogously to the way we get the Schur functions S λ from the classical Boson–Fermion correspondence (which is the same thing as the Jacobi–Trudi formula). Then as a generalization of KP hierarchy, we construct the π -type KP hierarchy and obtain its tau functions.