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arXiv 0904.4604math.RTmath.AG
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关于Tame路代数上模的极小不交退化

On minimal disjoint degenerations of modules over tame path algebras

Klaus Bongartz, Guido Frank, Isabel Wolters

摘要:

我们研究最小的不相交退化的表示驯服颤动。特别地,我们证明了它们的余维是有界的2。因此,一种是Dynkin,欧几里得响应如果余维分别为1,则为野生。由2个分别包围。不受约束我们还解释说,驯服颤抖的所有最小不相交退化的完整分类是一个有限的问题,可以解决的帮助下,一台计算机。

英文摘要:

We study minimal disjoint degenerations for representations of tame quivers. In particular, we prove that their codimensions are bounded by 2. Therefore a quiver is Dynkin resp. Euclidean resp. wild iff the codimensions are 1 resp. bounded by 2 resp. unbounded. We explain also that for tame quivers the complete classification of all minimal disjoint degenerations is a finite problem that can be solved with the help of a computer.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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