Weighted partially orderd sets of finite type

Olena Drozd-Koroleva


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.


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

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