The cyclic sieving phenomenon for faces of generalized cluster complexes

Sen-Peng Eu, Tung Shan Fu

研究成果: 會議貢獻類型

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 十二月 1
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
國家中国
城市Tianjin
期間07/7/207/7/6

ASJC Scopus subject areas

  • Algebra and Number Theory

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  • 引用此

    Eu, S-P., & Fu, T. S. (2007). The cyclic sieving phenomenon for faces of generalized cluster complexes. 論文發表於 19th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'07, Tianjin, 中国.