The cyclic sieving phenomenon for noncrossing partitions and m-divisible noncrossing partitions of classical types

碩士 === 國立高雄大學 === 應用數學系碩士班 === 98 === The cyclic sieving phenomenon was introduced by Reiner, Stanton, and White [12]. We use the Orbit-counting Lemma to count the number of orbits of noncrossing partitions and m-divisible noncrossing partitions of classical types, and find the natural q-analogues t...

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Bibliographic Details
Main Authors: Cheng-Tse Liu, 劉誠澤
Other Authors: Szu-En Cheng
Format: Others
Language:en_US
Published: 2010
Online Access:http://ndltd.ncl.edu.tw/handle/04116234109462296931