The cyclic sieving phenomenon

V. Reiner,D. Stanton,D. White,H Graf Von Reichenbach

J. Comb. Theory, Ser. A（2004）

引用 138|浏览20

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摘要

The cyclic sieving phenomenon is defined for generating functions of a set affording a cyclic group action, generalizing Stembridge's 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.

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关键词

springer regular element,q -binomial coefficient,ordered tree.,roots-of-unity,finite reflection group,cyclic sieving phenomenon,polygon dissection,hook formula,roots- of-unity,cyclic group action,q -multinomial coefficient,ordered tree,singer cycle,noncrossing partitions,polygon dissections,q-multinomial coecien t,schur function,principal specialization,various situation,generalizing stembridge,. q-binomial coecien t,kraskiewicz–weyman,lya-redfield theory,finite field q-analogues,kra skiewicz-weyman,q-binomial coefficient,noncrossing partition,singer cy- cle,cyclic group,roots of unity

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