Séminaire Lotharingien de Combinatoire, B14Sg (1986), p.
33-49.
Hélène Decoste
q-analogues en théorie des espèces
Abstract.
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
&leq 5, of derangements, of Hermite configurations, etc.
This work is part of my Ph.D. thesis that I am currrently writing.
The following version is available: