Le q-dénombrement générique d'une espèce: Existence et méthode de calcul

✍ Scribed by Hélène Décoste; Gilbert Labelle

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 370 KB
• Volume: 153
• Category: Article
• ISSN: 0012-365X
• DOI: 10.1016/0012-365x(95)00128-j

✦ Synopsis

For every species F of structures and every partition 2 = (21 ,/~2 .... ) of an integer n, let us denote by t~ = t~(F) the number of orbits under the natural action of the Young subgroup ~ = ~;.,,,~ ..... ~< ~. on the set of all F-structures with underlying set In]. The goal of this text is to prove the existence and to compute the coefficients of a 'generic' formal power series of the form f.(q) = t.