Simple roots of deformed preprojective algebras

Mathematics – Rings and Algebras

Scientific paper

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corrected september 24, 2001

Scientific paper

W. Crawley-Boevey has given a description of the set of dimension vectors of
simple representations of the deformed preprojective algebras. In this note we
give alternative descriptions. Note however that our descriptions depend on
irreducibility of the quotient varieties, so they do NOT give a shorter proof
of Crawley-Boevey's result.

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