Representations of copointed Hopf algebras arising from the tetrahedron rack

POGORELSKY, BARBARA; CRISTIAN VAY

ANNALI DELL'UNIVERSITA' DI FERRARA

Springer

Año: 2014 vol. 60 p. 407 - 427

0430-3202

We study the copointed Hopf algebras attached to the Nichols algebra of the affine rack Aff(F4,w), 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.