Special biserial coalgebras and representations of quantum SL(2)

Details Special biserial coalgebras and representations of quantum SL(2) Special biserial coalgebras and representations of quantum SL(2)

2006-09-13

arxiv.org/abs/math/0609370v5

Mathematics

Quantum Algebra

previous section 2.2 removed, errors corrected

Scientific paper

We develop the theory of special biserial and string coalgebras and other
concepts from the representation theory of quivers. These tools are then used
to describe the finite dimensional comodules and Auslander-Reiten quiver for
the coordinate Hopf algebra of quantum SL(2) at a root of unity. We also
describe the stable Green ring and compute quantum dimensions.

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