DOAJ Open Access 2020

Matrix product and sum rule for Macdonald polynomials

Luigi Cantini Jan De Gier Michael Wheeler

Lihat Sumber DOI

Abstrak

We present a new, explicit sum formula for symmetric Macdonald polynomials Pλ and show that they can be written as a trace over a product of (infinite dimensional) matrices. These matrices satisfy the Zamolodchikov– Faddeev (ZF) algebra. We construct solutions of the ZF algebra from a rank-reduced version of the Yang–Baxter algebra. As a corollary, we find that the normalization of the stationary measure of the multi-species asymmetric exclusion process is a Macdonald polynomial with all variables set equal to one.

Topik & Kata Kunci

Mathematics

Penulis (3)

Luigi Cantini

Jan De Gier

Michael Wheeler

Format Sitasi

APA MLA BibTeX

Cantini, L., Gier, J.D., Wheeler, M. (2020). Matrix product and sum rule for Macdonald polynomials. https://doi.org/10.46298/dmtcs.6419

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.6419

Informasi Jurnal

Tahun Terbit: 2020
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.6419
Akses: Open Access ✓