Igor Frenkel, Anton Malkin, Maxim Vybornov
Published 2000-05-11Version 1
C.M. Ringel defined Hall algebra associated with the category of representations of a quiver of Dynkin type and gave an explicit description of the structure constants of the corresponding Lie algebra. We utilize functorial properties of the Hall algebra to give a simple proof of Ringel's result, and to generalize it to the case of a quiver of affine type.
Tensor categories of affine Lie algebras beyond admissible level
On a property of branching coefficients for affine Lie algebras
About a Theorem of Cline, Parshall and Scott
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