关于完满域上多项式代数的表示环
On the representation ring of the polynomial algebra over a perfect field
摘要：
我们考虑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。给出了基域k为理想域时表示环的一般描述。当k分别是实封闭的代数闭时，它是显式的.此外，我们讨论了这个问题的概括表示的颤抖。特别地，提供了扩展Dynkin类型A的箭图的表示环。
英文摘要：
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 field k is perfect. It is made explicit in the special cases when k is 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 type A is provided.
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。
