Abstract
Let $\Lambda$ be the path algebra of a Dynkin quiver. A recent result of Bo Chen asserts that $\operatorname{Hom}(X, Y/X) = 0$ for any Gabriel-Roiter inclusion $X \subseteq Y$. The aim of the present note is to give an interpretation of this result in terms of Hall polynomials, and to extend it in this way to representation-directed split algebras. We further show its relevance when dealing with arbitrary representation-finite split algebras.
Citation
Claus Michael Ringel. "The theorem of Bo Chen and Hall polynomials." Nagoya Math. J. 183 143 - 160, 2006.
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