Geodesic
Combinatorics of necklaces and "Hermite reciprocity"
Journal of Algebraic Combinatorics, Tome 10 (1999) no. 2, pp. 173-188.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Combinatorial proof of an explicit formula for dimensions of spaces of semi-invariants of regular representations of finite cyclic groups is obtained. Using bicolored necklaces, a certain reciprocity law following from this formula is also derived combinatorially.
Keywords: partition, necklace, semi-invariant, reciprocity 
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     author = {Elashvili, A. and Jibladze, M. and Pataraia, D.},
     title = {Combinatorics of necklaces and {"Hermite} reciprocity"},
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Elashvili, A.; Jibladze, M.; Pataraia, D. Combinatorics of necklaces and "Hermite reciprocity". Journal of Algebraic Combinatorics, Tome 10 (1999) no. 2, pp. 173-188. http://geodesic.mathdoc.fr/item/JAC_1999__10_2_a1/