The generalized Giambelli formula and polynomial KP and CKP tau-functions
Mathematical Physics
2023-04-26 v2 math.MP
Abstract
The first part of the paper is devoted to two descriptions of all polynomial tau-functions of the KP hierarchy: by a generalized Jacobi-Trudy 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 we find all polynomial tau-functions of the Kaup-Kupershmidt hierarchy.
Keywords
Cite
@article{arxiv.2211.17197,
title = {The generalized Giambelli formula and polynomial KP and CKP tau-functions},
author = {Victor Kac and Johan van de Leur},
journal= {arXiv preprint arXiv:2211.17197},
year = {2023}
}
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32 pages