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/}
}
                      
                      
                    Hélène Decoste. q-analogues en théorie des espèces. Séminaire lotharingien de combinatoire, 14s (1986). http://geodesic.mathdoc.fr/item/SLC_1986_14s_a6/