Combinatorics of Necklaces and “Hermite Reciprocity”

Authors:
A. Elashvili;M. Jibladze;D. Pataraia
Affiliations:
A. Razmadze Mathematical Institute of the Georgian Academy of Sciences, M. Alexidze St. 1, Tbilisi 380093, Republic of Georgia. alela@rmi.acnet.ge;A. Razmadze Mathematical Institute of the Georgian Academy of Sciences, M. Alexidze St. 1, Tbilisi 380093, Republic of Georgia. jib@rmi.acnet.ge;A. Razmadze Mathematical Institute of the Georgian Academy of Sciences, M. Alexidze St. 1, Tbilisi 380093, Republic of Georgia. dito@rmi.acnet.ge
Venue:
Journal of Algebraic Combinatorics: An International Journal
Year:
1999

Citing 1
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Abstract

Combinatorial proof of an explicit formula for dimensions of spacesof 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.