|
Algebra and Discrete Mathematics, 2006, Issue 2, Pages 36–49
(Mi adm255)
|
|
|
|
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.
Received: 05.09.2006 Revised: 29.09.2006
Citation:
Olena Drozd-Koroleva, “Weighted partially orderd sets of finite type”, Algebra Discrete Math., 2006, no. 2, 36–49
Linking options:
https://www.mathnet.ru/eng/adm255 https://www.mathnet.ru/eng/adm/y2006/i2/p36
|
Statistics & downloads: |
Abstract page: | 171 | Full-text PDF : | 55 | First page: | 1 |
|