A Class of Weak Hopf Algebras
We introduce a class of noncommutative and noncocommutative weak Hopf algebras with infinite Ext quivers and study their structure. We decompose them into a direct sum of two algebras. The coalgebra structures of these weak Hopf algebras are described by their Ext quiver. The weak Hopf extension of...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2010/520762 |
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| _version_ | 1832551774274191360 |
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| author | Dongming Cheng |
| author_facet | Dongming Cheng |
| author_sort | Dongming Cheng |
| collection | DOAJ |
| description | We introduce a class of noncommutative and noncocommutative weak Hopf algebras with infinite Ext quivers and study their structure. We decompose them into a direct sum of two algebras. The coalgebra structures of these weak Hopf algebras are described by their Ext quiver. The weak Hopf extension of Hopf algebra Hn has a quotient Hopf algebra and a sub-Hopf algebra which are isomorphic to Hn. |
| format | Article |
| id | doaj-art-ee2b8dc1e254402487b945e81abe4255 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ee2b8dc1e254402487b945e81abe42552025-02-03T06:00:39ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/520762520762A Class of Weak Hopf AlgebrasDongming Cheng0Department of Mathematics, Zhejiang University, Hangzhou, Zhejiang 310027, ChinaWe introduce a class of noncommutative and noncocommutative weak Hopf algebras with infinite Ext quivers and study their structure. We decompose them into a direct sum of two algebras. The coalgebra structures of these weak Hopf algebras are described by their Ext quiver. The weak Hopf extension of Hopf algebra Hn has a quotient Hopf algebra and a sub-Hopf algebra which are isomorphic to Hn.http://dx.doi.org/10.1155/2010/520762 |
| spellingShingle | Dongming Cheng A Class of Weak Hopf Algebras International Journal of Mathematics and Mathematical Sciences |
| title | A Class of Weak Hopf Algebras |
| title_full | A Class of Weak Hopf Algebras |
| title_fullStr | A Class of Weak Hopf Algebras |
| title_full_unstemmed | A Class of Weak Hopf Algebras |
| title_short | A Class of Weak Hopf Algebras |
| title_sort | class of weak hopf algebras |
| url | http://dx.doi.org/10.1155/2010/520762 |
| work_keys_str_mv | AT dongmingcheng aclassofweakhopfalgebras AT dongmingcheng classofweakhopfalgebras |