Lie algebras associated with quadratic forms and their applications to Ringel-Hall algebras
We define and investigate Lie algebras associated with quadratic forms. We also present their connections with Lie algebras and Ringel-Hall algebras associated with representation directed algebras.
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2008 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2008
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/153372 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Lie algebras associated with quadratic forms and their applications to Ringel-Hall algebras / J. Kosakowska // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 4. — С. 49–79. — Бібліогр.: 15 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862546094534164480 |
|---|---|
| author | Kosakowska, J. |
| author_facet | Kosakowska, J. |
| citation_txt | Lie algebras associated with quadratic forms and their applications to Ringel-Hall algebras / J. Kosakowska // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 4. — С. 49–79. — Бібліогр.: 15 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | We define and investigate Lie algebras associated with quadratic forms. We also present their connections with Lie algebras and Ringel-Hall algebras associated with representation directed algebras.
|
| first_indexed | 2025-11-25T07:17:18Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-153372 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-25T07:17:18Z |
| publishDate | 2008 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Kosakowska, J. 2019-06-14T03:39:30Z 2019-06-14T03:39:30Z 2008 Lie algebras associated with quadratic forms and their applications to Ringel-Hall algebras / J. Kosakowska // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 4. — С. 49–79. — Бібліогр.: 15 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 17B20. https://nasplib.isofts.kiev.ua/handle/123456789/153372 We define and investigate Lie algebras associated with quadratic forms. We also present their connections with Lie algebras and Ringel-Hall algebras associated with representation directed algebras. Partially supported by Research Grant No. N N201 269 135 of Pol
 ish Ministry of
 Science and High Education en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Lie algebras associated with quadratic forms and their applications to Ringel-Hall algebras Article published earlier |
| spellingShingle | Lie algebras associated with quadratic forms and their applications to Ringel-Hall algebras Kosakowska, J. |
| title | Lie algebras associated with quadratic forms and their applications to Ringel-Hall algebras |
| title_full | Lie algebras associated with quadratic forms and their applications to Ringel-Hall algebras |
| title_fullStr | Lie algebras associated with quadratic forms and their applications to Ringel-Hall algebras |
| title_full_unstemmed | Lie algebras associated with quadratic forms and their applications to Ringel-Hall algebras |
| title_short | Lie algebras associated with quadratic forms and their applications to Ringel-Hall algebras |
| title_sort | lie algebras associated with quadratic forms and their applications to ringel-hall algebras |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/153372 |
| work_keys_str_mv | AT kosakowskaj liealgebrasassociatedwithquadraticformsandtheirapplicationstoringelhallalgebras |