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Quivers with relations for symmetrizable Cartan matrices III: Convolution algebras

Quivers with relations for symmetrizable Cartan matrices. III: Convolution algebras
Authors: Geiss, Christof; Schröer, Jan; Leclerc, Bernard;

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.

Country
France
Keywords

[MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT], enveloping algebra, Mathematics - Rings and Algebras, 16G10, 16G20, 17B35, Secondary 16G70, Universal enveloping algebras of Lie algebras, Iwanaga-Gorenstein algebras, Rings and Algebras (math.RA), Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers, FOS: Mathematics, Representations of quivers and partially ordered sets, [MATH.MATH-RT] Mathematics [math]/Representation Theory [math.RT], Representation Theory (math.RT), Universal enveloping (super)algebras, Mathematics - Representation Theory, convolution algebra

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
14
Top 10%
Top 10%
Top 10%
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