The paper gives explicit formulas for the generating polynomials of eventually constant k-tuples on cyclic graphs, proves they are multisymmetric and equal to characters of GL representations, and extends the results to eventually N-cyclic and λ-cyclic k-tuples.
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Multisymmetric functions on eventually constant cyclic graphs
The paper gives explicit formulas for the generating polynomials of eventually constant k-tuples on cyclic graphs, proves they are multisymmetric and equal to characters of GL representations, and extends the results to eventually N-cyclic and λ-cyclic k-tuples.