Title of article :
The cyclic sieving phenomenon
Author/Authors :
Reiner، نويسنده , , V. and Stanton، نويسنده , , D. and White، نويسنده , , D.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2004
Abstract :
The cyclic sieving phenomenon is defined for generating functions of a set affording a cyclic group action, generalizing Stembridgeʹs q=−1 phenomenon. The phenomenon is shown to appear in various situations, involving q-binomial coefficients, Pólya–Redfield theory, polygon dissections, noncrossing partitions, finite reflection groups, and some finite field q-analogues.
Keywords :
hook formula , Ordered tree , q-Binomial coefficient , q-Multinomial coefficient , Principal specialization , Schur function , Kraskiewicz–Weyman , Singer cycle , Springer regular element , Polygon dissections , noncrossing partitions , Roots-of-unity
Journal title :
Journal of Combinatorial Theory Series A
Journal title :
Journal of Combinatorial Theory Series A
