Abstract
We investigate a family of Hopf algebras of dimension 72 whose coradical is isomorphic to the algebra of functions on $\mathbb S_3$. We determine the lattice of submodules of the so-called Verma modules and as a consequence we classify all simple modules. We show that these Hopf algebras are unimodular (as well as their duals) but not quasitriangular; also, they are cocycle deformations of each other.
Citation
Nicolás Andruskiewitsch. Cristian Vay. "On a family of Hopf algebras of dimension 72." Bull. Belg. Math. Soc. Simon Stevin 19 (3) 415 - 443, september 2012. https://doi.org/10.36045/bbms/1347642374
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