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arxiv: 1306.6271 · v1 · pith:JVEUOOYTnew · submitted 2013-06-26 · 🧮 math.RT

The existence of Hall polynomials for posets of finite prinjective type

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keywords prinjectivefiniteexistencehallpolynomialstypeposetsrepresentations
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We prove the existence of Hall polynomials for prinjective representations of finite partially ordered sets of finite prinjective type. In Section 4 we shortly discuss consequences of the existence of Hall polynomials, in particular, we are able to define a generic Ringel-Hall algebra for prinjective representations of posets of finite prinjective type.

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