Ringel-Hall algebras of cyclic quivers.
type: Item
instance of: scholarly article
title: Ringel-Hall algebras of cyclic quivers.
zbMATH Open document ID: 1253.16014
author: Andrew Hubery
published in: São Paulo Journal of Mathematical Sciences
publication date: 2012-07-20T00:00:00Z
full work available at URL: https://arxiv.org/abs/0904.0180
review text: In this paper the author presents the theory of Ringel-Hall algebras in the special case of a cyclic quiver with special emphasis on the Hopf algebra structure. Among other statements, the author outlines the proof of the fact that the center of the Ringel-Hall algebra is isomorphic to the ring of symmetric functions (after extending scalars). The paper is in some sense complementary to and filling some gaps in the survey by \textit{O. Schiffmann}, [Fields Inst. Commun. 40, 453-479 (2004; Zbl 1134.16301)], but it also confirms a conjecture formulated in the latter paper.
reviewed by: Volodymyr Mazorchuk
Mathematics Subject Classification ID: 16G20
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 05E05
zbMATH DE Number: 6059244
zbMATH Keywords: Ringel-Hall algebras
zbMATH Keywords: cyclic quivers
zbMATH Keywords: symmetric functions
Wikidata QID: Q121769767
MaRDI profile type: Publication
OpenAlex ID: W2083622728
arXiv ID: 0904.0180
DOI: 10.11606/ISSN.2316-9028.V4I3P351-398
description: scientific article; zbMATH DE number 6059244