Quivers with relations for symmetrizable Cartan matrices III: Convolution algebras

Abstract

We realize the enveloping algebra of the positive part of a semisimple complex Lie algebra as a convolution algebra of constructible functions on module varieties of some Iwanaga-Gorenstein algebras of dimension 1.

This article, together with "Quiver with relations for symmetrizable Cartan matrices II: Change of symmetrizers" (arXiv:1511.05898), replaces arXiv:1502.01565, which has been withdrawn; 37 pages. v2: acknowledgements added; v3: Final version, a few typos fixed and exposition improved, now 38 pages

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