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: 雜誌貢獻期刊論文同行評審

14 引文 斯高帕斯(Scopus)

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 are 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 types An, Bn, Dn, and I2 (a) are shown to exhibit the cyclic sieving phenomenon under a cyclic group action. For the cluster complexes of exceptional types E6, E7, E8, F4, H3, and H4, a verification for such a phenomenon on the facets is given.

原文英語
頁(從 - 到)350-376
頁數27
期刊Advances in Applied Mathematics
40
發行號3
DOIs
出版狀態已發佈 - 2008 三月

ASJC Scopus subject areas

  • 應用數學

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