Thrall's problem: cyclic sieving, necklaces, and branching rules

zbMath1436.05116MaRDI QIDQ2306493

Connor Ahlbach, Joshua P. Swanson

Publication date: 23 March 2020

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2019//37.html

zbMATH Keywords

wreath productsbranching rulesmajor indexcyclic sievingnecklacesThrall's problem

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05)

Cites Work

• Unnamed Item
• On the eigenvalues of representations of reflection groups and wreath products
• Lie elements in the tensor algebra
• Cyclic sieving, necklaces, and branching rules related to Thrall's problem
• Refined cyclic sieving on words for the major index statistic
• The cyclic sieving phenomenon
• Constructions for Cyclic Sieving Phenomena
• Multiplicities of Higher Lie Characters

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