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2006 The theorem of Bo Chen and Hall polynomials
Claus Michael Ringel
Nagoya Math. J. 183: 143-160 (2006).

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

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Claus Michael Ringel. "The theorem of Bo Chen and Hall polynomials." Nagoya Math. J. 183 143 - 160, 2006.

Information

Published: 2006
First available in Project Euclid: 5 September 2006

zbMATH: 1116.16014
MathSciNet: MR2253888

Subjects:
Primary: 16G20, 16G60
Secondary: 17B37, 81R50

Rights: Copyright © 2006 Editorial Board, Nagoya Mathematical Journal

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Vol.183 • 2006
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