Mathematics – Representation Theory
Scientific paper
2000-05-11
Mathematics
Representation Theory
48 pages
Scientific paper
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.
Frenkel Igor
Malkin Anton
Vybornov Maxim
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