Quivers with relations for symmetrizable Cartan matrices III: Convolution algebras

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.

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Bibliographic Details
Published in:Representation theory 2016-10, Vol.20 (13), p.375-413
Main Authors: Geiss, Christof, Schröer, Jan, Leclerc, Bernard
Format: Article
Language:English
Subjects:
Mathematics
Representation Theory
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Summary: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.
ISSN:1088-4165
1088-4165
DOI:10.1090/ert/487