Spin q–Whittaker polynomials
Name
1701.06292.pdf
Description
Submitted version
Size
526.9 KB
Format
Adobe PDF
Checksum (MD5)
1ce226cb055cc67995084776b6c7e1bf
Author(s)
Borodin, Alexei
Wheeler, Michael
Date Issued
2021
Journal
Advances in Mathematics
Publisher
Elsevier BV
Version
Original manuscript
Abstract
© 2020 Elsevier Inc. We introduce and study a one-parameter generalization of the q–Whittaker symmetric functions. This is a family of multivariate symmetric polynomials, whose construction may be viewed as an application of the procedure of fusion from integrable lattice models to a vertex model interpretation of a one-parameter generalization of Hall–Littlewood polynomials from [3,6,7]. We prove branching and Pieri rules, standard and dual (skew) Cauchy summation identities, and an integral representation for the new polynomials.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1016/j.aim.2020.107449
