Weighted partially orderd sets of finite type
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-...
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2006 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/157358 |
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| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862534292590034944 |
|---|---|
| author | Drozd-Koroleva, O. |
| author_facet | Drozd-Koroleva, O. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | 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.
|
| first_indexed | 2025-11-24T06:36:06Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-157358 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-24T06:36:06Z |
| publishDate | 2006 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Drozd-Koroleva, O. 2019-06-20T02:46:50Z 2019-06-20T02:46:50Z 2006 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. 1726-3255 2000 Mathematics Subject Classification: 16G20, 16G60. https://nasplib.isofts.kiev.ua/handle/123456789/157358 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Weighted partially orderd sets of finite type Article published earlier |
| spellingShingle | Weighted partially orderd sets of finite type Drozd-Koroleva, O. |
| title | Weighted partially orderd sets of finite type |
| title_full | Weighted partially orderd sets of finite type |
| title_fullStr | Weighted partially orderd sets of finite type |
| title_full_unstemmed | Weighted partially orderd sets of finite type |
| title_short | Weighted partially orderd sets of finite type |
| title_sort | weighted partially orderd sets of finite type |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/157358 |
| work_keys_str_mv | AT drozdkorolevao weightedpartiallyorderdsetsoffinitetype |