DOAJ Open Access 2011

Dual combinatorics of zonal polynomials

Valentin Féray Piotr Sniady

Lihat Sumber DOI

Abstrak

In this paper we establish a new combinatorial formula for zonal polynomials in terms of power-sums. The proof relies on the sign-reversing involution principle. We deduce from it formulas for zonal characters, which are defined as suitably normalized coefficients in the expansion of zonal polynomials in terms of power-sum symmetric functions. These formulas are analogs of recent developments on irreducible character values of symmetric groups. The existence of such formulas could have been predicted from the work of M. Lassalle who formulated two positivity conjectures for Jack characters, which we prove in the special case of zonal polynomials.

Topik & Kata Kunci

Mathematics

Penulis (2)

Valentin Féray

Piotr Sniady

Format Sitasi

APA MLA BibTeX

Féray, V., Sniady, P. (2011). Dual combinatorics of zonal polynomials. https://doi.org/10.46298/dmtcs.2913

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2913

Informasi Jurnal

Tahun Terbit: 2011
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.2913
Akses: Open Access ✓