Half-commutative orthogonal Hopf algebras

The map ct from signed permutations to Cambrian trees is known to encode combinatorial and geometric properties of the Cambrian structures: the Cambrian lattice is the quotient of

In the second part of this paper, we study Baxter-Cambrian structures, extending in the Cam- brian setting the constructions of S. Reading on quadrangulations [LR12] and that of

Then it was proved in [Hayashi,1999], [Szlachanyi,2001], [Ostrik,2003] that any fusion category is equivalent to the representation category of some algebraic structure

• Quantum groups, a special type of Hopf algebra, can provide useful models in quantum physics, for example giving a more accurate photon distribution for the laser than the

In this short note we compute the Kac and RFD quotients for the Hopf ∗ -algebras associated to universal orthogonal quantum groups O + F of Wang and Van Daele, exploiting

After a presentation of the context and a brief reminder of deformation quantization, we indicate how the introduction of natural topological vector space topologies on Hopf

We also obtain several other Hopf algebras, which, respectively, involve forests of planar rooted trees, some kind of graphs consisting of nodes with one parent and several children

If the characteristic of the base field is zero, we prove that the Lie algebra of the primitive elements of such an object is free, and we deduce a characterization of the formal