期刊
ANNALS OF COMBINATORICS
卷 26, 期 3, 页码 593-611出版社
SPRINGER BASEL AG
DOI: 10.1007/s00026-022-00580-9
关键词
Symplectic Schur functions; Polynomial tau-functions; Symplectic KP hierarchy; Multi-component SKP hierarchy
资金
- National Natural Science Foundation of China [12071237]
This paper proves that the zero mode of an appropriate combinatorial generating function is a polynomial tau-function of a symplectic KP hierarchy, and extends it to the multi-component SKP hierarchy. Moreover, the polynomial tau-function of the SKP hierarchy is written as a determinant form using the Vandermonde-like identity.
In this paper, we prove that a zero mode of an appropriate combinatorial generating function is a polynomial tau-function of a form of symplectic KP (SKP) hierarchy and extend it to the multi-component SKP hierarchy. Moreover, we write the polynomial tau-function of SKP hierarchy as determinant form in terms of the Vandermonde-like identity.
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