Half-quantum groups at roots of unity, path algebras and representation type

Details Half-quantum groups at roots of unity, path algebras and representation type Half-quantum groups at roots of unity, path algebras and representation type

1997-02-02

arxiv.org/abs/q-alg/9702005v2

Mathematics

Quantum Algebra

14 pages, Latex. http://www.unige.ch/math/folks/cibils/apublics.html

Scientific paper

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.

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