Special biserial coalgebras and representations of quantum SL(2)
Quantum Algebra
2011-03-24 v5 Rings and Algebras
Representation Theory
Abstract
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.
Keywords
Cite
@article{arxiv.math/0609370,
title = {Special biserial coalgebras and representations of quantum SL(2)},
author = {William Chin},
journal= {arXiv preprint arXiv:math/0609370},
year = {2011}
}
Comments
previous section 2.2 removed, errors corrected