The cyclic sieving phenomenon: a survey

Bruce E. Sagan · Cambridge University Press eBooks · 2011

The cyclic sieving phenomenon was defined by Reiner, Stanton, and White in a 2004 paper. It was partly motivated as an extension of the q = −1 phenomenon introduced earlier by Stembridge. We give a survey of the current literature on cyclic sieving. The techniques used to prove that the phenomenon holds are discussed, including ideas from representation theory such as Springer’s Theorem on regular elements in complex reflection groups. Acknowledgements

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