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-one correspondence with...
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| Дата: | 2006 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2006
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/157358 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-157358 |
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dspace |
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irk-123456789-1573582019-06-21T01:26:44Z Weighted partially orderd sets of finite type Drozd-Koroleva, O. 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. 2006 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/157358 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Drozd-Koroleva, O. |
| spellingShingle |
Drozd-Koroleva, O. Weighted partially orderd sets of finite type Algebra and Discrete Mathematics |
| author_facet |
Drozd-Koroleva, O. |
| author_sort |
Drozd-Koroleva, O. |
| title |
Weighted partially orderd sets of finite type |
| title_short |
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_sort |
weighted partially orderd sets of finite type |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/157358 |
| 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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT drozdkorolevao weightedpartiallyorderdsetsoffinitetype |
| first_indexed |
2023-05-20T17:51:50Z |
| last_indexed |
2023-05-20T17:51:50Z |
| _version_ |
1796154267104444416 |