The Stanley-Féray-Śniady formula for the generalized characters of the symmetric group

• Autorzy: Fabio Scarabotti
• Języki publikacji: EN

Abstrakty

EN

We show that the explicit formula of Stanley-Féray-Śniady for the characters of the symmetric group has a natural extension to the generalized characters. These are the spherical functions of the unbalanced Gel'fand pair $(Sₙ × S_{n-1}, diag S_{n-1})$.

Kategorie tematyczne

• 20C30: Representations of finite symmetric groups
• 43A90: Spherical functions
• 20C15: Ordinary representations and characters

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2011
• Tom: 124
• Numer: 2
• Strony: 285-291

Daty

wydano

2011

Twórcy

autor

Fabio Scarabotti

• Dipartimento SBAI-Sezione Matematica, Università degli Studi di Roma "La Sapienza", via A. Scarpa 8, 00161 Roma, Italy

Identyfikatory

DOI

10.4064/cm124-2-12