Representations of copointed Hopf algebras arising from the tetrahedron rack
arXiv:1309.4697 · doi:10.1007/s11565-013-0197-5
Abstract
We study the copointed Hopf algebras attached to the Nichols algebra of the affine rack $\Aff(\F_4,ω)$, also known as tetrahedron rack, and the 2-cocycle -1. We investigate the so-called Verma modules and classify all the simple modules. We conclude that these algebras are of wild representation type and not quasitriangular, also we analyze when these are spherical.