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arXiv · 1309.4697

Representations of copointed Hopf algebras arising from the tetrahedron rack

Barbara Pogorelsky·Cristian Vay
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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.

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BibTeXRIS

Barbara Pogorelsky, Cristian Vay. 2013-12-16. Representations of copointed Hopf algebras arising from the tetrahedron rack. https://doi.org/10.1007/s11565-013-0197-5

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