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Lusztig §4 - Quivers
- ~~4.1 For a Dynkin quiver Ω, denote by MΩ the (abelian) category of modules (representations) over a fixed field F~~
-
4.2 ==4.2 Any simple module is isomorphic to
some some== \( e_i ≔ V_i = F, V_j = 0 \)
[link](https://www.authorea.com/users/97602/articles/116277/_show_article#article-paragraph-mobile__space__test__dot__md)
- 4.3 Full subcategories \( M_i^+Ω \) and \( M_i^-Ω \) characterized by Hom
- Reflection functors defined when i is a sink (source), so that \( s_iΩ \) has i as a source (sink)