Weighted partially orderd sets of finite type

• Datum: 2018
• 1. Verfasser: Drozd-Koroleva, Olena
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: weighted partially ordered sets; finite representation type; reflection functors; Tits form; 16G20; 16G60
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/887
• Назва журналу: Algebra and Discrete Mathematics

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...