Coincidences between Characters to Hook Partitions and 2-Part Partitions on Families arising from 2-Regular Classes

  • Christine Bessenrodt
DOI: https://doi.org/10.37236/6598
Keywords: Symmetric groups, Characters, Hooks, 2-part partitions

Abstract

Strongly refining results by Regev, Regev and Zeilberger, we prove surprising coincidences between characters to 2-part partitions of size $n$ and characters to hook partitions of size $n+2$ on two related families obtained by extending 2-regular conjugacy classes.
Published
2017-07-28
How to Cite
Bessenrodt, C. (2017). Coincidences between Characters to Hook Partitions and 2-Part Partitions on Families arising from 2-Regular Classes. The Electronic Journal of Combinatorics, 24(3), P3.17. https://doi.org/10.37236/6598
Issue
Volume 24, Issue 3 (2017)
Article Number
P3.17