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

Julien Bichon (1, 2)

1 LMBP - Laboratoire de Mathématiques Blaise Pascal
2 UCA [2017-2020] - Université Clermont Auvergne [2017-2020]

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.

Domaines: Algèbres quantiques [math.QA]

Julien Bichon. The group of bi-Galois objects over the coordinate algebra of the Frobenius-Lusztig kernel of SL(2). Glasgow Mathematical Journal, 2015, ⟨10.1017/S0017089515000439⟩. ⟨hal-01068846⟩