Deformation of Cayley's Hyperdeterminants
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Published:2020-06-12
Issue:2
Volume:27
Page:
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ISSN:1077-8926
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Container-title:The Electronic Journal of Combinatorics
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language:
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Short-container-title:Electron. J. Combin.
Author:
Cai Tommy Wuxing,Jing Naihuan
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.
Publisher
The Electronic Journal of Combinatorics
Subject
Computational Theory and Mathematics,Geometry and Topology,Theoretical Computer Science,Applied Mathematics,Discrete Mathematics and Combinatorics