Half-quantum groups at roots of unity, path algebras and representation type
q-alg
2008-02-03 v2 Quantum Algebra
Abstract
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.
Cite
@article{arxiv.q-alg/9702005,
title = {Half-quantum groups at roots of unity, path algebras and representation type},
author = {Claude Cibils},
journal= {arXiv preprint arXiv:q-alg/9702005},
year = {2008}
}
Comments
14 pages, Latex. http://www.unige.ch/math/folks/cibils/apublics.html