On Classification of Finite-Dimensional Superbialgebras and Hopf Superalgebras
The purpose of this paper is to investigate finite-dimensional superbialgebras and Hopf superalgebras. We study connected superbialgebras and provide a classification of non-trivial superbialgebras and Hopf superalgebras in dimension n with n≤4.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2014 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2014
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146808 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On Classification of Finite-Dimensional Superbialgebras and Hopf Superalgebras / S. Aissaoui, A. Makhlouf // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 39 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862699670614048768 |
|---|---|
| author | Aissaoui, S. Makhlouf, A. |
| author_facet | Aissaoui, S. Makhlouf, A. |
| citation_txt | On Classification of Finite-Dimensional Superbialgebras and Hopf Superalgebras / S. Aissaoui, A. Makhlouf // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 39 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The purpose of this paper is to investigate finite-dimensional superbialgebras and Hopf superalgebras. We study connected superbialgebras and provide a classification of non-trivial superbialgebras and Hopf superalgebras in dimension n with n≤4.
|
| first_indexed | 2025-12-07T16:36:26Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146808 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T16:36:26Z |
| publishDate | 2014 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Aissaoui, S. Makhlouf, A. 2019-02-11T16:04:42Z 2019-02-11T16:04:42Z 2014 On Classification of Finite-Dimensional Superbialgebras and Hopf Superalgebras / S. Aissaoui, A. Makhlouf // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 39 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 16T10; 57T05; 17A70 DOI:10.3842/SIGMA.2014.001 https://nasplib.isofts.kiev.ua/handle/123456789/146808 The purpose of this paper is to investigate finite-dimensional superbialgebras and Hopf superalgebras. We study connected superbialgebras and provide a classification of non-trivial superbialgebras and Hopf superalgebras in dimension n with n≤4. The authors are grateful to the referees for their valuable remarks and suggestions. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On Classification of Finite-Dimensional Superbialgebras and Hopf Superalgebras Article published earlier |
| spellingShingle | On Classification of Finite-Dimensional Superbialgebras and Hopf Superalgebras Aissaoui, S. Makhlouf, A. |
| title | On Classification of Finite-Dimensional Superbialgebras and Hopf Superalgebras |
| title_full | On Classification of Finite-Dimensional Superbialgebras and Hopf Superalgebras |
| title_fullStr | On Classification of Finite-Dimensional Superbialgebras and Hopf Superalgebras |
| title_full_unstemmed | On Classification of Finite-Dimensional Superbialgebras and Hopf Superalgebras |
| title_short | On Classification of Finite-Dimensional Superbialgebras and Hopf Superalgebras |
| title_sort | on classification of finite-dimensional superbialgebras and hopf superalgebras |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146808 |
| work_keys_str_mv | AT aissaouis onclassificationoffinitedimensionalsuperbialgebrasandhopfsuperalgebras AT makhloufa onclassificationoffinitedimensionalsuperbialgebrasandhopfsuperalgebras |