The cyclic sieving phenomenon for faces of generalized cluster complexes

Sen-Peng Eu*, Tung Shan Fu

*此作品的通信作者

研究成果: 會議貢獻類型會議論文同行評審

摘要

The notion of cyclic sieving phenomenon was introduced by Reiner, Stanton, and White as a generalization of Stembridge's q = -1 phenomenon. The generalized cluster complexes associated to root systems were given by Fomin and Reading as a generalization of the cluster complexes found by Fomin and Zelevinsky. In this paper, the faces of various dimensions of the generalized cluster complexes in type A n, B n, D n, and I 2(a) are shown to exhibit the cyclic sieving phenomenon under a cyclic group action. For the cluster complexes of exceptional type E 6, E 7, E 8, F 4, H 3, and H 4, a verification for such a phenomenon on their maximal faces is given.

原文英語
出版狀態已發佈 - 2007
事件19th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'07 - Tianjin, 中国
持續時間: 2007 七月 22007 七月 6

其他

其他19th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'07
國家/地區中国
城市Tianjin
期間2007/07/022007/07/06

ASJC Scopus subject areas

  • 代數與數理論

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