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

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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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     author = {WANG, NA and LI, CHUANZHONG},
     title = {\ensuremath{\pi}-TYPE {FERMIONS} {AND} {\ensuremath{\pi}-TYPE} {KP} {HIERARCHY}},
     journal = {Glasgow mathematical journal},
     pages = {601--613},
     year = {2019},
     volume = {61},
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     doi = {10.1017/S0017089518000381},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089518000381/}
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