University of Regina
Department of Mathematics and Statistics
Speaker: Patrick J. Browne (University of Saskatchewan)
Title: Stackel Determinants
Date: Friday, April 2, 2004
Place: Math & Stats Lounge (CW 307.18)
Stackel determinants are determinants of functions (usually real-
valued continuous functions of real variables) of the form
= det(f(i,j)(xi)), i, j = 1, ..., n.
i.e. the functions in the first row are functions of the first variable x1,
those in the second row are functions of the second variable x2, etc.
The lecture will cover three points:
(1) situations in which these determinants arise and (briefly) the
role they play this involves linked systems of ordinary differential
equations (so called multiparameter problems) and assumptions of pos-
itivity of the determinant.
(2) properties of a Stackel determinant when the functions are con-