Deformation of Cayley's hyperdeterminants

Published 3 Jun 2020 in math.QA and math.CO | (2006.02025v2)

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.

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