Generalisation of Scott permanent identity
Combinatorics
2010-02-22 v1 Mathematical Physics
math.MP
Abstract
Scott considered the determinant of 1/(y-z)^2, with y,z running over two sets X,Y of size n, and determined its specialisation when Y and Z are the roots of y^n-a and z^n-b. We give the same specialisation for the determinant 1/\prod_x(xy-z), where {x} is an arbitrary set of indeterminates. The case of the Gaudin-Izergin-Korepin is for {x}={q,1/q}.
Keywords
Cite
@article{arxiv.1002.3785,
title = {Generalisation of Scott permanent identity},
author = {Alain Lascoux},
journal= {arXiv preprint arXiv:1002.3785},
year = {2010}
}
Comments
5 pages