Geodesic
π-TYPE FERMIONS AND π-TYPE KP HIERARCHY
Glasgow mathematical journal, Tome 61 (2019) no. 3, pp. 601-613

Voir la notice de l'article provenant de la source Cambridge University Press

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 Sλπ from the π-type Boson–Fermion correspondence, analogously to the way we get the Schur functions Sλ 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. 
WANG, NA; LI, CHUANZHONG. π-TYPE FERMIONS AND π-TYPE KP HIERARCHY. Glasgow mathematical journal, Tome 61 (2019) no. 3, pp. 601-613. doi: 10.1017/S0017089518000381
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