Chinese Annals of Mathematics, Series B

, Volume 27, Issue 6, pp 701–722 | Cite as

The Double Ringel-Hall Algebras of Valued Quivers*

ORIGINAL ARTICLES
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Abstract

This paper is devoted to the study of the structure of the double Ringel-Hall algebra \( {\user1{\mathcal{D}}}{\left( \Lambda \right)} \) for an infinite dimensional hereditary algebra Λ, which is given by a valued quiver Γ over a finite field, and also to the study of the relations of \( {\user1{\mathcal{D}}}{\left( \Lambda \right)} \)-modules with representations of valued quiver Γ.

Keywords

Ringel-Hall algebras Generalized Kac-Moody algebras Drinfeld double 

2000 MR Subject Classification

16G10 17B37 17B67 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  1. 1.Department of Mathematical SciencesTsinghua UniversityBeijing 100084China
  2. 2.College of Mathematical ScienceTianjin Normal UniversityTianjin 300384China

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