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| The Double Ringel-Hall Algebras of Valued Quivers |
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Citation： |
Yanxin WANG,Jie XIAO.The Double Ringel-Hall Algebras of Valued Quivers[J].Chinese Annals of Mathematics B,2006,27(6):701~722 |
| Page view： 1244
Net amount： 1115 |
Authors： |
Yanxin WANG; Jie XIAO |
Foundation： |
Project supported by the National Natural Science Foundation of China (No.10471071) and the 973 Project
of the Ministry of Science and Technology of China. |
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| Abstract： |
This paper is devoted to the study of the structure of the double
Ringel-Hall algebra $\mathcal{D}(\Lambda)$ for an infinite
dimensional hereditary algebra $\Lambda$, which is given by a
valued quiver $\Gamma$ over a finite field, and also to the study
of the relations of $\mathcal{D}(\Lambda)$-modules with
representations of valued quiver $\Gamma$. |
Keywords： |
Ringel-Hall algebras, Generalized Kac-Moody algebras, Drinfeld double |
Classification： |
16G10, 17B37, 17B67 |
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