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The Theorem of Bo Chen and Hall Polynomials

Published online by Cambridge University Press:  11 January 2016

Claus Michael Ringel
Claus Michael Ringel*
Affiliation:
Fakultät für MathematikUniversität BielefeldPOBox 100 131 D-33 501 [email protected]
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Abstract

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Let Λ be the path algebra of a Dynkin quiver. A recent result of Bo Chen asserts that Hom(X; Y/X) = 0 for any Gabriel-Roiter inclusion X ⊆ 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.

Keywords

16G2016G6017B3781R50
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 183 , 2006 , pp. 143 - 160
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2006

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