dorsal/arxiv
View SchemaHalf-quantum groups at roots of unity, path algebras and representation type
| Authors | Claude Cibils |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9702005 |
| URL | https://arxiv.org/abs/q-alg/9702005 |
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.
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"abstract": "We show that finite dimensional half-quantum groups at roots of unity\ncorresponding to simple Lie algebras having symmetric Cartan matrix are of wild\nrepresentation type, except for sl_2. Moreover, the underlying associative\nalgebra is isomorphic to an admissible quotient of the path algebra of the\nCayley graph of an abelian group. A quantum type Fourier transform enables to\ndescribe an explicit isomorphism.",
"arxiv_id": "q-alg/9702005",
"authors": [
"Claude Cibils"
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"title": "Half-quantum groups at roots of unity, path algebras and representation type",
"url": "https://arxiv.org/abs/q-alg/9702005"
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