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

Abstract

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.

References in corpus (3)

• The Brauer-Picard group of the representation category of finite supergroup algebras
• Autoequivalences of the tensor category of Uq(g)-modules
• Crossed extensions of the corepresentation category of finite supergroup algebras