Constructions for cyclic sieving phenomena

Andrew Berget; Sen Peng Eu; Victor Reiner

doi:10.1137/100803596

Constructions for cyclic sieving phenomena

Andrew Berget^*, Sen Peng Eu, Victor Reiner

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

7 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 language	English
Pages (from-to)	1297-1314
Number of pages	18
Journal	SIAM Journal on Discrete Mathematics
Volume	25
Issue number	3
DOIs	https://doi.org/10.1137/100803596
Publication status	Published - 2011
Externally published	Yes

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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10.1137/100803596

Cite this

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title = "Constructions for cyclic sieving phenomena",

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.",

keywords = "Cyclic sieving phenomena, Exterior power, Fake degree, Frobenius, Parking function, Schur-Weyl duality, Symmetric power, Tensor power",

author = "Andrew Berget and Eu, {Sen Peng} and Victor Reiner",

year = "2011",

doi = "10.1137/100803596",

language = "English",

volume = "25",

pages = "1297--1314",

journal = "SIAM Journal on Discrete Mathematics",

issn = "0895-4801",

publisher = "Society for Industrial and Applied Mathematics Publications",

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T1 - Constructions for cyclic sieving phenomena

AU - Berget, Andrew

AU - Eu, Sen Peng

AU - Reiner, Victor

PY - 2011

Y1 - 2011

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AB - 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.

KW - Cyclic sieving phenomena

KW - Exterior power

KW - Fake degree

KW - Frobenius

KW - Parking function

KW - Schur-Weyl duality

KW - Symmetric power

KW - Tensor power

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UR - http://www.scopus.com/inward/citedby.url?scp=82955197391&partnerID=8YFLogxK

U2 - 10.1137/100803596

DO - 10.1137/100803596

M3 - Article

AN - SCOPUS:82955197391

SN - 0895-4801

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EP - 1314

JO - SIAM Journal on Discrete Mathematics

JF - SIAM Journal on Discrete Mathematics

IS - 3

ER -

Constructions for cyclic sieving phenomena

Abstract

Keywords

ASJC Scopus subject areas

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