DOAJ Open Access 2009

Characters of symmetric groups in terms of free cumulants and Frobenius coordinates

Maciej Dolega Valentin Féray Piotr Sniady

Lihat Sumber DOI

Abstrak

Free cumulants are nice and useful functionals of the shape of a Young diagram, in particular they give the asymptotics of normalized characters of symmetric groups $\mathfrak{S}(n)$ in the limit $n \to \infty$. We give an explicit combinatorial formula for normalized characters of the symmetric groups in terms of free cumulants. We also express characters in terms of Frobenius coordinates. Our formulas involve counting certain factorizations of a given permutation. The main tool are Stanley polynomials which give values of characters on multirectangular Young diagrams.

Topik & Kata Kunci

Mathematics

Penulis (3)

Maciej Dolega

Valentin Féray

Piotr Sniady

Format Sitasi

APA MLA BibTeX

Dolega, M., Féray, V., Sniady, P. (2009). Characters of symmetric groups in terms of free cumulants and Frobenius coordinates. https://doi.org/10.46298/dmtcs.2752

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2752

Informasi Jurnal

Tahun Terbit: 2009
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.2752
Akses: Open Access ✓