Hopf dreams

The classes of (labelled) diagrams up to this equivalence (permutations of white - or black - spots among themselves) are naturally represented by unlabelled diagrams and will

As explained in [8], the space generated by the double posets inherits two products and one coproduct, here denoted by m, and ∆, making it both a Hopf and an infinitesimal Hopf

The Connes-Kreimer Hopf algebra of rooted trees, introduced in [1, 6, 7, 8], is a commutative, non cocommutative Hopf algebra, its coproduct being given by admissible cuts of trees2.

The map κ from signed per- mutations to Cambrian trees is known to encode combinatorial and geometric properties of the Cambrian structures: the Cambrian lattice is the quotient of

After reviewing the definition of the restricted quantum group U q sℓ(2), we give our quasi-Hopf algebra modification U (Φ) q sℓ(2), and we show that it is indeed a factorisable

In the context of a critical sociolinguistic study of the interactions between British migrants and autochthones in rural Brittany, France, I have chosen to retain the critical and

In [BMM10], Bousquet-M´ elou and Mishna give a detailed study of the various walks with small steps in the quarter plane and make the conjecture that such a walk has a

The Schwarz class S o / in/initely di//erentiable /unctions tending to zero at in/inity together with all their derivatives more rapidly than any negative power