On the Representation Ring of a Quiver
On the Representation Ring of a Quiver
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DOI：
10.1007/s10468-008-9118-1
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发表时间：
2009-01
影响因子：
0.6
通讯作者：
Martin Herschend
中科院分区：
文献类型：
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作者：
Martin Herschend
解表示的Clebsch-Gordan问题是分解任意两个解表示的张量积的问题，其中张量积是逐点和箭头定义的。我们引入了所谓的特征表示并分解了它们的张量积。然后，这是适用于解决的Clebsch-Gordan问题的箭壶类型和。在这两种情况下，我们也提供了一个明确的描述表示环。
The Clebsch–Gordan problem for quiver representations is the problem of decomposing the tensor product of any two representations of a quiver, where the tensor product is defined point-wise and arrow-wise. We introduce the so-called characteristic representations and decompose their tensor product. This is then applied to solve the Clebsch–Gordan problem for quivers of typeand. In both cases we also provide an explicit description of the representation ring.