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On the representation ring of the polynomial algebra over a perfect field

✍ Scribed by Erik Darpö; Martin Herschend


Publisher
Springer-Verlag
Year
2009
Tongue
French
Weight
236 KB
Volume
265
Category
Article
ISSN
0025-5874

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Representations of a k-algebra over the
✍ Raymundo Bautista; Zhang Yingbo 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 166 KB

For Λ a finite-dimensional k-algebra, k a field, we study the relations between the category of all left Λ-modules, Mod Λ, and the category of finitely generated Λ ⊗ k k(x) = Λ k(x) -modules, mod Λ k (x) . In particular, we consider those G ∈ mod Λ k(x) such that Λ G is indecomposable. We prove that