On the representation ring of the polynomial algebra over a perfect field
On the representation ring of the polynomial algebra over a perfect field
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DOI：
10.1007/s00209-009-0532-9
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发表时间：
2008-10
影响因子：
0.8
通讯作者：
Erik Darpö;Martin Herschend
中科院分区：
文献类型：
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作者：
Erik Darpö;Martin Herschend
我们考虑了多项式代数上模的张量积与通常的线性算子的张量积相对应。给出了理想基场情形下表示环的一般刻划。在真实的闭和代数闭的特殊情况下，它是显式的.此外，我们讨论了这个问题的概括表示的颤抖。特别是给出了扩展Dynkin型箭图的表示环。
We consider the tensor product of modules over the polynomial algebra corresponding to the usual tensor product of linear operators. We present a general description of the representation ring in case the ground fieldkis perfect. It is made explicit in the special cases whenkis real closed respectively algebraically closed. Furthermore, we discuss the generalisation of this problem to representations of quivers. In particular the representation ring of quivers of extended Dynkin typeis provided.