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| 摘要: |
| 本文首先引入了一类新的范畴AYDGH, 这个范畴是一簇范畴{AYDH(α,β)}(α,β)∈G的非交并, 获得了范畴{AYDH(α,β)}(α,β)∈G是一个辫子T-范畴当且仅当(A,H,Q)是一个G-偶结构, 推广了2005年Panaite和Staic的主要结论. 最后, 当H是有限维时, 构造了一个拟三角T-余代数{A#H*(α,β)}(α,β)∈G, 它的表示范畴与{AYDH(α,β)}(α,β)∈G是同构的. |
| 关键词: 量子Yetter-Drinfeld模 辫子T-范畴 拟三角结构 |
| DOI： |
| 分类号:O153.3 |
| 基金项目:Supported by the NNSF of China (11101128) and the NSF of Jiangsu Province (BK2012736). |
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| THE CONSTRUCTION OF BRAIDED T-CATEGORIES |
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GUO Shuang-jian,DONG Li-hong
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| Abstract: |
| In this paper, we first introduce a class of new categories AYDGH as a disjoint union of family of categories {AYDH(α,β)}(α,β)∈G. Then we mainly show that the category {AYDH(α,β)}(α,β)∈G forms a braided T-category if and only if there is a map Q such that (A,H,Q) is a G-double structure, generalizing the main constructions by Panaite and Staic (2005). Finally, when H is finite-dimensional we construct a quasitriangular T-coalgebra {AYDH(α,β)}(α,β)∈G, such that {AYDH(α,β)}(α,β)∈G is isomorphic to the representation category of the quasitriangular T-coalgebra {A#H*(α,β)}(α,β)∈G. |
| Key words: quantum Yetter-Drinfeld module braided T-category quasitriangular struc-ture |
