New Braided T-Categories over Weak Crossed Hopf Group Coalgebras
Let H be a weak crossed Hopf group coalgebra over group π; we first introduce a kind of new α-Yetter-Drinfel’d module categories 𝒲𝒴𝒟α(H) for α∈π and use it to construct a braided T-category 𝒲𝒴𝒟(H). As an application, we give the concept of a Long dimodule category H𝒲ℒH for a weak crossed Hopf group...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/626394 |
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| author | Xuan Zhou Tao Yang |
| author_facet | Xuan Zhou Tao Yang |
| author_sort | Xuan Zhou |
| collection | DOAJ |
| description | Let H be a weak crossed Hopf group coalgebra over group π; we first introduce a kind of new α-Yetter-Drinfel’d module categories 𝒲𝒴𝒟α(H) for α∈π and use it to construct a braided T-category 𝒲𝒴𝒟(H). As an application, we give the concept of a Long dimodule category H𝒲ℒH for a weak crossed Hopf group coalgebra H with quasitriangular and coquasitriangular structures and obtain that H𝒲ℒH is a braided T-category by translating it into a weak Yetter-Drinfel'd module subcategory 𝒲𝒴𝒟(H⊗H). |
| format | Article |
| id | doaj-art-317124191ac647ecb134161b582d2685 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-317124191ac647ecb134161b582d26852025-02-03T01:09:10ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/626394626394New Braided T-Categories over Weak Crossed Hopf Group CoalgebrasXuan Zhou0Tao Yang1Mathematics and Information Technology School, Jiangsu Second Normal University, Nanjing, Jiangsu 210013, ChinaDepartment of Mathematics, Nanjing Agricultural University, Nanjing, Jiangsu 210095, ChinaLet H be a weak crossed Hopf group coalgebra over group π; we first introduce a kind of new α-Yetter-Drinfel’d module categories 𝒲𝒴𝒟α(H) for α∈π and use it to construct a braided T-category 𝒲𝒴𝒟(H). As an application, we give the concept of a Long dimodule category H𝒲ℒH for a weak crossed Hopf group coalgebra H with quasitriangular and coquasitriangular structures and obtain that H𝒲ℒH is a braided T-category by translating it into a weak Yetter-Drinfel'd module subcategory 𝒲𝒴𝒟(H⊗H).http://dx.doi.org/10.1155/2013/626394 |
| spellingShingle | Xuan Zhou Tao Yang New Braided T-Categories over Weak Crossed Hopf Group Coalgebras Abstract and Applied Analysis |
| title | New Braided T-Categories over Weak Crossed Hopf Group Coalgebras |
| title_full | New Braided T-Categories over Weak Crossed Hopf Group Coalgebras |
| title_fullStr | New Braided T-Categories over Weak Crossed Hopf Group Coalgebras |
| title_full_unstemmed | New Braided T-Categories over Weak Crossed Hopf Group Coalgebras |
| title_short | New Braided T-Categories over Weak Crossed Hopf Group Coalgebras |
| title_sort | new braided t categories over weak crossed hopf group coalgebras |
| url | http://dx.doi.org/10.1155/2013/626394 |
| work_keys_str_mv | AT xuanzhou newbraidedtcategoriesoverweakcrossedhopfgroupcoalgebras AT taoyang newbraidedtcategoriesoverweakcrossedhopfgroupcoalgebras |