Weighted partially orderd sets of finite type

• Published in: Algebra and Discrete Mathematics
• Date: 2006
• Main Author: Drozd-Koroleva, O.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/157358
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Weighted partially orderd sets of finite type / O. Drozd-Koroleva // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 2. — С. 36–49. — Бібліогр.: 12 назв. — англ.

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...