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Questions about the properties of vector spaces and linear transformations, including linear systems in general.

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A basis of the weight space in the semi-invariant ring corresponding to the weight $\langle(...

I'm trying to understand Example 10.11.1 on page 225 of the book "An introduction to quiver representations" by Harm Derksen and Jerzy Weyman (see the attached screenshot below) I want to understand …
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