Hyperdeterminantal expressions for Jack functions of rectangular shapes
Sho Matsumoto
Abstract
We derive a Jacobi-Trudi type formula for Jack functions of rectangular shapes. In this formula, we make use of a hyperdeterminant, which is Cayley's simple generalization of the determinant. In addition, after developing the general theory of hyperdeterminants, we give summation formulae for Schur functions involving hyperdeterminants, and evaluate Toeplitz-type hyperdeterminants by using Jack function theory.
Create a lesson
Related papers
Maximal anti-Ramsey problems for posets
Binlong Li, Balázs Patkós, Changxin Wang
An Improved Bound for Smith's Longest Cycles Conjecture via a Forbidden Subdivision
Douglas M. Chen
Perfect state transfer on Cayley graphs over dihedral groups: A complete and practical characterization
Shixin Wang
An Improvement to the Upper Bound for Marton's Covering Conjecture
Zhao Song, Song Yue
Vertex-transitive strongly regular graphs in the switching class of doubly transitive two-graphs
Robert F. Bailey, Gábor P. Nagy, Valentino Smaldore
Inversion-descent enumerators of 321-avoiding permutations
Qiongqiong Pan