Presenting degenerate Ringel-Hall algebras of type \(B\)
type: Item
instance of: scholarly article
title: Presenting degenerate Ringel-Hall algebras of type \(B\)
zbMATH Open document ID: 1277.17010
author: Zhonghua Zhao
author: Li-Juan Fan
published in: Science China. Mathematics
publication date: 2013-01-28T00:00:00Z
review text: The authors investigate the structure of degenerte Ringel-Hall algebra \(h_0(Q,\sigma)\) for a Dynkin quiver \(Q\) of type \(\mathbb{A}\) with the endomorphism \(\sigma\) such that the corresponding valued quiver is of type \(\mathbb{B}\). Theorem 2.5 gives presentation of \(h_0(Q,\sigma)\) by generators and relations. The proof of this theorem uses similar presentation for the corresponding generic extension monoid algebra (Theorem 3.5).
reviewed by: Justyna Kosakowska
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 16G20
zbMATH DE Number: 6131964
zbMATH Keywords: degenerate Ringel-Hall algebras
zbMATH Keywords: generic extension monoid algebras
zbMATH Keywords: Auslander-Reiten quivers
zbMATH Keywords: Frobenius morphism
MaRDI profile type: Publication
full work available at URL: s11425-011-4317-3
OpenAlex ID: W2019116207
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DOI: 10.1007/S11425-011-4317-3
description: scientific article; zbMATH DE number 6131964