q-analogues en théorie des espèces
Séminaire lotharingien de combinatoire, 14s (1986)

Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website

In the theory of symmetric functions there exists a verry useful substitution that allows one to come up with several q-analogues. As Joyal remarked in 1982, it is by the bias of indicator series that lets us relate this substitution to the combinatorial theory of species. The aim of this talk is to develop, in this context, a theory of q-enumeration of species (weighted or not). We present a certain number of general results and several explicit examples: q-enumeration of atomic species of degree 5, of derangements, of Hermite configurations, etc.

This work is part of my Ph.D. thesis that I am currrently writing.

@article{SLC_1986_14s_a6,
     author = {H\'el\`ene Decoste},
     title = {q-analogues en th\'eorie des esp\`eces},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {14s},
     year = {1986},
     url = {http://geodesic.mathdoc.fr/item/SLC_1986_14s_a6/}
}
TY  - JOUR
AU  - Hélène Decoste
TI  - q-analogues en théorie des espèces
JO  - Séminaire lotharingien de combinatoire
PY  - 1986
VL  - 14s
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SLC_1986_14s_a6/
ID  - SLC_1986_14s_a6
ER  - 
%0 Journal Article
%A Hélène Decoste
%T q-analogues en théorie des espèces
%J Séminaire lotharingien de combinatoire
%D 1986
%V 14s
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SLC_1986_14s_a6/
%F SLC_1986_14s_a6
Hélène Decoste. q-analogues en théorie des espèces. Séminaire lotharingien de combinatoire, 14s (1986). http://geodesic.mathdoc.fr/item/SLC_1986_14s_a6/