English

Deformation of Cayley's hyperdeterminants

Quantum Algebra 2020-06-15 v2 Combinatorics

Abstract

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

Keywords

Cite

@article{arxiv.2006.02025,
  title  = {Deformation of Cayley's hyperdeterminants},
  author = {Tommy Wuxing Cai and Naihuan Jing},
  journal= {arXiv preprint arXiv:2006.02025},
  year   = {2020}
}

Comments

9 pages, 0 figures

R2 v1 2026-06-23T16:00:53.036Z