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arXiv · 1410.1403

Quivers with relations for symmetrizable Cartan matrices I : Foundations

Christof Geiss·Bernard Leclerc·Jan Schröer
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Abstract

We introduce and study a class of Iwanaga-Gorenstein algebras defined via quivers with relations associated with symmetrizable Cartan matrices. These algebras generalize the path algebras of quivers associated with symmetric Cartan matrices. We also define a corresponding class of generalized preprojective algebras. Without any assumption on the ground field, we obtain new representation-theoretic realizations of all finite root systems.

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BibTeXRIS

Christof Geiss, Bernard Leclerc, Jan Schröer. 2014-10-06. Quivers with relations for symmetrizable Cartan matrices I : Foundations. https://doi.org/10.1007/s00222-016-0705-1

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