Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4587523 | Journal of Algebra | 2008 | 21 Pages |
Abstract
We derive a Jacobi–Trudi type formula for Jack functions of rectangular shapes. In this formula, we make use of a hyperdeterminant, which is Cayley's simple generalization of the determinant. In addition, after developing the general theory of hyperdeterminants, we give summation formulas for Schur functions involving hyperdeterminants, and evaluate Toeplitz type hyperdeterminants by using Jack function theory.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory