HOPF QUIVERS
to appear in J. of Algebra




Claude CIBILS
 

Marc ROSSO

DVI
 

PS
 

PDF

 

We classify graded Hopf algebras structures over path coalgebras, that is over free pointed coalgebras, using Hopf quivers which are analogous to Cayley graphs. 

The description involves formulas for the product besides the canonical formulas for the coproduct.This makes explicit the quantum shuffle product  making use of natural elements in a Hopf bimodule having a simple "geometrical" interpretation in the quiver sense, rather than working systematically with right or left coinvariants. 

C.C.
Dép. de Mathématiques,
Université de Montpellier 2.
M.R.
Dép. de mathématiques et applications, 
École normale supérieure.