On central extensions of preprojective algebras

Mathematics – Representation Theory

Scientific paper

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10 pages, latex

Scientific paper

We determine the structure of the center and the trace space of the centrally
extended preprojective algebra of an ADE quiver, introduced by the first and
the third authors in math/0503393. It turns out that this structure has a
mysterious relationship to the structure of the maximal nilpotent subalgebra of
the corresponding simple Lie algebra.

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