Geodesic
Deformation of Cayley's hyperdeterminants
Tommy Wuxing Cai1 ; Naihuan Jing2
1South China University of Technology
2North Carolina State University
The electronic journal of combinatorics, Tome 27 (2020) no. 2
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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.
DOI : 10.37236/8091
Classification : 05E10, 05E05, 17B69, 15A15, 05B20
Mots-clés : Hankel determinant, Matsumoto's formula for Jack functions

Tommy Wuxing Cai  1   ; Naihuan Jing  2

1 South China University of Technology
2 North Carolina State University 
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     author = {Tommy Wuxing Cai and Naihuan Jing},
     title = {Deformation of {Cayley's} hyperdeterminants},
     journal = {The electronic journal of combinatorics},
     year = {2020},
     volume = {27},
     number = {2},
     doi = {10.37236/8091},
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Tommy Wuxing Cai; Naihuan Jing. Deformation of Cayley's hyperdeterminants. The electronic journal of combinatorics, Tome 27 (2020) no. 2. doi: 10.37236/8091

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