DOAJ Open Access 2014

Descents of $\lambda$-unimodal cyclic permutations

Kassie Archer

Lihat Sumber DOI

Abstrak

We prove an identity conjectured by Adin and Roichman involving the descent set of $\lambda$-unimodal cyclic permutations. These permutations appear in the character formulas for certain representations of the symmetric group and these formulas are usually proven algebraically. Here, we give a combinatorial proof for one such formula and discuss the consequences for the distribution of the descent set on cyclic permutations.

Topik & Kata Kunci

Mathematics

Penulis (1)

Kassie Archer

Format Sitasi

APA MLA BibTeX

Archer, K. (2014). Descents of $\lambda$-unimodal cyclic permutations. https://doi.org/10.46298/dmtcs.2411

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2411

Informasi Jurnal

Tahun Terbit: 2014
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.2411
Akses: Open Access ✓