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About: Semi-invariant of a quiver     Goto   Sponge   NotDistinct   Permalink

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Type: yago:Abstraction100002137yago:Communication100033020yago:Graph107000195yago:VisualCommunication106873252yago:WikicatDirectedGraphs New Facet based on Instances of this Class

In mathematics, given a quiver Q with set of vertices Q0 and set of arrows Q1, a representation of Q assigns a vector space Vi to each vertex and a linear map V(α): V(s(α)) → V(t(α)) to each arrow α, where s(α), t(α) are, respectively, the starting and the ending vertices of α. Given an element d ∈ Q0, the set of representations of Q with dim Vi = d(i) for each i has a vector space structure.