  We show that finite dimensional half-quantum groups at roots of unity
corresponding to simple Lie algebras having symmetric Cartan matrix are of wild
representation type, except for sl_2. Moreover, the underlying associative
algebra is isomorphic to an admissible quotient of the path algebra of the
Cayley graph of an abelian group. A quantum type Fourier transform enables to
describe an explicit isomorphism.

Quantum Algebra;Quantum Algebra