标题:Lie algebras determined by finite valued Auslander-Reiten quivers
作者:Zhang, SH
作者机构:[Zhang, S] Department of Mathematics, Shandong University, Jinan 250100, China
通讯作者地址:[Zhang, SH]SHANDONG UNIV,DEPT MATH,JINAN 250100,PEOPLES R CHINA.
来源:SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
出版年:1997
卷:40
期:7
页码:X6-724
DOI:10.1007/BF02878694
关键词:Hall algebras; Hall polynomials; degenerate Hall algebras; universal; covers Galois covers
摘要:Let Gamma denote a connected valued Auslander-Reiten quiver, let L(Gamma) denote the free abelian group generated by the vertex set Gamma(0) and let <(Gamma)over tilde> be the universal cover of Gamma with fundamental group G. It is proved that when Gamma is a finite connected valued Auslander-Reiten quiver, L(Gamma) is a Lie subalgebra of H(Gamma)(1) and is just the ''orbit'' Lie algebra L(<(Gamma)over tilde>)/G, where H(Gamma)(1) is the degenerate Hall algebra of Gamma and L(<(Gamma)over tilde>)/G is the ''orbit'' Lie algebra induced by <(Gamma)over tilde>.
收录类别:EI;SCOPUS;SCIE
WOS核心被引频次:2
Scopus被引频次:2
资源类型:期刊论文
原文链接:https://www.scopus.com/inward/record.uri?eid=2-s2.0-0041045269&partnerID=40&md5=09c41bbdcb781136c9c64dd6ef3205f8
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