Abstract
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.
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Elashvili, A., Jibladze, M. & Pataraia, D. Combinatorics of Necklaces and “Hermite Reciprocity”. Journal of Algebraic Combinatorics 10, 173–188 (1999). https://doi.org/10.1023/A:1018727630642
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DOI: https://doi.org/10.1023/A:1018727630642