| A Kind of Braided—Lie Structures |
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| 基金项目： | ThisresearchisSupportedbyagrantofNSFofChinaandalsoagrantawardedtohimbyNSFofHenanProvice ,China |
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| 摘 要： | Weintroduceafamilyofbraided Liealgebras .TheyareLiealgebrasintheunifyingYetter Drinfeld Longmodulecategory JJMQQwhereJandQareHopfalgebras.Westudytheirstructureandthebraided LiestructureofanalgebraAin JJMQQ .Definition 3.1 Abraided LiealgebraisanobjectLin JJMQQ(see1])togetherwithabracketoperation :,]:L L →L (see 2 ]) ,whichisan JJMQQ morphismsatisfying :(a)braided anticommutativity :a ,b]=- a(- 1) ·b0 ,a0 ·b(1) ] (b)braided Jacobiidentity :a b c]+ S(3 12 ) (a…
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| 关 键 词： | 李代数 范畴 辫状结构 Hopf－代数 |
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