The generalized Giambelli formula and polynomial KP and CKP tau-functions

被引：6
|
作者：
Kac, Victor [1 ]
van de Leur, Johan [2 ]
机构：
[1] MIT, Dept Math, Cambridge, MA 02139 USA
[2] Univ Utrecht, Math Inst, POB 80010, NL-3508 TA Utrecht, Netherlands
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2023年 / 56卷 / 18期
关键词：
KP hierarchy; Giambelli formula; Jacobi-Trudi formula; tau-functions; HIERARCHIES;
D O I：
10.1088/1751-8121/acc856
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The first part of the paper is devoted to two descriptions of all polynomial tau-functions of the Kadomtsev-Petviashvili (KP) hierarchy: by a generalized Jacobi-Trudi formula, and a generalized Giambelli formula. We use the latter formula in the second part to obtain all polynomial tau-functions of the CKP hierarchy and its n-reductions. In particular, for n=3
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页数：28
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