Higher Lie characters and cyclic descent extension on conjugacy classes
| Autor: | Adin, Ron M., Hegedüs, Pál, Roichman, Yuval |
|---|---|
| Rok vydání: | 2019 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | A now-classical cyclic extension of the descent set of a permutation has been introduced by Klyachko and Cellini. Following a recent axiomatic approach to this notion, it is natural to ask which sets of permutations admit such an extension. The main result of this paper is a complete answer in the case of conjucay classes of permutations. It is shown that the conjugacy class of cycle type $\lambda$ has such an extension if and only if $\lambda$ is not of the form $(r^s)$ for some square-free $r$. The proof involves a detailed study of hook constituents in higher Lie characters. Comment: 41 pages, improved version, added author |
| Databáze: | arXiv |
| Externí odkaz: |
|