Polynomial tau-functions of the KP, BKP, and the s -component KP hierarchies
Name
2005.02665.pdf
Description
Accepted version
Size
359.54 KB
Format
Adobe PDF
Checksum (MD5)
91655ac116f60c37ce7dc30043933f95
Author(s)
Kac, Victor G
Rozhkovskaya, Natasha
van de Leur, Johan
Date Issued
2021
Journal
Journal of Mathematical Physics
Publisher
AIP Publishing
Version
Author's final manuscript
Abstract
© 2021 Author(s). We show that any polynomial tau-function of the s-component KP and the BKP hierarchies can be interpreted as a zero-mode of an appropriate combinatorial generating function. As an application, we obtain explicit formulas for all polynomial tau-functions of these hierarchies in terms of Schur polynomials and Q-Schur polynomials, respectively. We also obtain formulas for polynomial tau-functions of the reductions of the s-component KP hierarchy associated with partitions in s parts.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1063/5.0013017
