Deformation of Cayley's Hyperdeterminants

  • Tommy Wuxing Cai
  • Naihuan Jing

Abstract

We introduce a deformation of Cayley's second hyperdeterminant for even-dimensional hypermatrices. As an application, we obtain a generalization of Jacobi-Trudi formula for Macdonald functions of rectangular shapes generalizing Matsumoto's formula for Jack functions.

Published
2020-06-12
How to Cite
Cai, T. W., & Jing, N. (2020). Deformation of Cayley’s Hyperdeterminants. The Electronic Journal of Combinatorics, 27(2), P2.50. https://doi.org/10.37236/8091
Article Number
P2.50