Geodesic
Weighted partially orderd sets of finite type
Algebra and discrete mathematics, no. 2 (2006), pp. 36-49 Cet article a éte moissonné depuis la source Math-Net.Ru

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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
Mots-clés : Tits form. 
@article{ADM_2006_2_a5,
     author = {Olena Drozd-Koroleva},
     title = {Weighted partially orderd sets of finite type},
     journal = {Algebra and discrete mathematics},
     pages = {36--49},
     year = {2006},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2006_2_a5/}
}
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Olena Drozd-Koroleva. Weighted partially orderd sets of finite type. Algebra and discrete mathematics, no. 2 (2006), pp. 36-49. http://geodesic.mathdoc.fr/item/ADM_2006_2_a5/