Deformation of Cayley's hyperdeterminants
Tommy Wuxing Cai, Naihuan Jing
TL;DR
This paper introduces a deformation of Cayley's second hyperdeterminant for even-dimensional hypermatrices and applies it to generalize Macdonald functions and related formulas.
Contribution
It presents a novel deformation of Cayley's hyperdeterminant and extends the Jacobi-Trudi formula to Macdonald functions of rectangular shapes.
Findings
Deformation of Cayley's hyperdeterminant for even-dimensional hypermatrices.
Generalization of the Jacobi-Trudi formula for Macdonald functions.
Connection to Matsumoto's formula for Jack functions.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.