Half-liberated real spheres and their subspaces

We describe the quantum subspaces of Banica-Goswami's half-liberated real-spheres, showing in particular that there is a bijection between the symmetric ones and the conjugation stable closed subspaces of the complex projective spaces.Comment: 10 page

The group of bi-Galois objects over the coordinate algebra of the Frobenius-Lusztig kernel of SL(2)

We construct, for q a root of unity of odd order, an embedding of the projective special linear group PSL(n) into the group of bi-Galois objects over u_q(sl(n))*, the coordinate algebra of the Frobenius-Lusztig kernel of SL(n), which is shown to be an isomorphism at n=2

Quotients and Hopf Images of a Smash Coproduct

We describe the Hopf algebra quotients and Hopf images of the smash coproduct of a group algebra by the algebra of functions on a finite group.Comment: 17 page