Constructions for cyclic sieving phenomena

Andrew Berget, Sen Peng Eu, Victor Reiner

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We show how to derive new instances of the cyclic sieving phenomenon from old ones via elementary representation theory. Examples are given involving objects such as words, parking functions, finite fields, and graphs.

Original languageEnglish
Pages (from-to)1297-1314
Number of pages18
JournalSIAM Journal on Discrete Mathematics
Volume25
Issue number3
DOIs
Publication statusPublished - 2011 Dec 12

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Keywords

  • Cyclic sieving phenomena
  • Exterior power
  • Fake degree
  • Frobenius
  • Parking function
  • Schur-Weyl duality
  • Symmetric power
  • Tensor power

ASJC Scopus subject areas

  • Mathematics(all)

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