RESEARCH ARTICLE

Weighted partially orderd sets of finite type

Olena Drozd-Koroleva

Sosnytska 19 – 299; 02090; Kyiv, Ukraine

Abstract: We define representations of weighted posets and construct for them reflection functors. Using this technique we prove that a weighted poset is of finite representation type if and only if its Tits form is weakly positive; then indecomposable representations are in one-to-one correspondence with the positive roots of the Tits form.

Keywords: weighted partially ordered sets, finite representation type, reflection functors, Tits form.

MSC: 16G20, 16G60

Received: 05.09.2006
Revised: 29.09.2006

Language: English

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