Simple Finite Jordan Pseudoalgebras
We consider the structure of Jordan H-pseudoalgebras which are linearly finitely generated over a Hopf algebra H. There are two cases under consideration: H = U(h) and H = U(h) # C[Γ], where h is a finite-dimensional Lie algebra over C, Γ is an arbitrary group acting on U(h) by automorphisms. We con...
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| Дата: | 2009 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2009
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149246 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Simple Finite Jordan Pseudoalgebras / P. Kolesnikov // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 20 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-149246 |
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dspace |
| spelling |
irk-123456789-1492462019-02-20T01:28:07Z Simple Finite Jordan Pseudoalgebras Kolesnikov, P. We consider the structure of Jordan H-pseudoalgebras which are linearly finitely generated over a Hopf algebra H. There are two cases under consideration: H = U(h) and H = U(h) # C[Γ], where h is a finite-dimensional Lie algebra over C, Γ is an arbitrary group acting on U(h) by automorphisms. We construct an analogue of the Tits-Kantor-Koecher construction for finite Jordan pseudoalgebras and describe all simple ones. 2009 Article Simple Finite Jordan Pseudoalgebras / P. Kolesnikov // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 20 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 17C50; 17B60; 16W30 http://dspace.nbuv.gov.ua/handle/123456789/149246 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We consider the structure of Jordan H-pseudoalgebras which are linearly finitely generated over a Hopf algebra H. There are two cases under consideration: H = U(h) and H = U(h) # C[Γ], where h is a finite-dimensional Lie algebra over C, Γ is an arbitrary group acting on U(h) by automorphisms. We construct an analogue of the Tits-Kantor-Koecher construction for finite Jordan pseudoalgebras and describe all simple ones. |
| format |
Article |
| author |
Kolesnikov, P. |
| spellingShingle |
Kolesnikov, P. Simple Finite Jordan Pseudoalgebras Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Kolesnikov, P. |
| author_sort |
Kolesnikov, P. |
| title |
Simple Finite Jordan Pseudoalgebras |
| title_short |
Simple Finite Jordan Pseudoalgebras |
| title_full |
Simple Finite Jordan Pseudoalgebras |
| title_fullStr |
Simple Finite Jordan Pseudoalgebras |
| title_full_unstemmed |
Simple Finite Jordan Pseudoalgebras |
| title_sort |
simple finite jordan pseudoalgebras |
| publisher |
Інститут математики НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149246 |
| citation_txt |
Simple Finite Jordan Pseudoalgebras / P. Kolesnikov // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 20 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT kolesnikovp simplefinitejordanpseudoalgebras |
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2023-05-20T17:32:33Z |
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2023-05-20T17:32:33Z |
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1796153530979975168 |