Super-biderivations of not-finitely graded Lie super algebras related to generalized super-Virasoro algebras

Zhuo ZHANG; Jixia YUAN; Xiaomin TANG

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Super-biderivations of not-finitely graded Lie super algebras related to generalized super-Virasoro algebras

机译：与广义超级virasoro代数相关的非有限分级的谎言超级代数的超级专利

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摘要

We mainly study the super-biderivations of not-finitely graded Lie superalgebras related to generalized super-Virasoro algebras. In particular, we prove that all super-biderivations of not-finitely graded Lie superalgebras related to generalized super-Virasoro algebras are inner.

机译：我们主要研究与广义超级Virasoro代数相关的非有限分级谎言超级凝视的超级专利。特别是，我们证明所有与广义超级virasoro代数相关的非有限分级的谎言超级凝血的所有超级专利都是内在的。

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来源
《Frontiers of mathematics in China》 |2020年第6期|1295-1306|共12页
作者
Zhuo ZHANG; Jixia YUAN; Xiaomin TANG;
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作者单位

School of Mathematical Sciences Heilongjiang University Harbin 150080 China;

School of Mathematical Sciences Heilongjiang University Harbin 150080 China;

School of Mathematical Sciences Heilongjiang University Harbin 150080 China;

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原文格式 PDF
正文语种 eng
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关键词
Lie superalgebra; super-Virasoro algebras; super-biderivation; inner super-biderivations;

机译：Lie Superalgebra;超级virasoro代数;超级植物;内在的超级飞行;

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专利

1. Lie bialgebras of not-finitely graded Lie algebras related to generalized Virasoro algebras [J] . Qiufan Chen, Jianzhi Han, Yucai Su International journal of mathematics . 2014,第5期

机译：与广义Virasoro代数有关的无限级Lie代数的Lie代数
2. STRUCTURES OF NOT-FINITELY GRADED LIE ALGEBRAS RELATED TO GENERALIZED VIRASORO ALGEBRAS [J] . Chen Qiufan, Han Jianzhi, Su Yucai Communications in algebra . 2015,第7a8期

机译：与广义Virasoro代数有关的非极限李氏代数的结构
3. Linear Super-Commuting Maps and Super-Biderivations on the Super-Virasoro Algebras [J] . Xia Chunguang, Wang Dengyin, Han Xiu Communications in algebra . 2016,第11a12期

机译：Super-Virasoro代数上的线性超通勤图和超导数
4. Generalized Quantum Statistics and Lie (Super)Algebras [C] . N.I. Stoilova Balkan Physical Union., International Conference . 2016

机译：广义量子统计和谎言（超级）代数
5. Some graded Lie algebra structures associated with Lie algebras and Lie algebroids. [D] . Yang, Qunfeng. 1999

机译：与李代数和李代数相关的一些分级李代数结构。
6. Modular invariant representations of infinite-dimensional Lie algebras and superalgebras [O] . Victor G. Kac, Minoru Wakimoto 1988

机译：无限维李代数和超代数的模不变表示
7. Structures of not-finitely graded Lie algebras related to generalized Heisenberg-Virasoro algebras [O] . Fan, Guangzhe, Zhou, Chenhong, Yue, Xiaoqing 2016

机译：非广义李氏代数的广义相关结构海森堡 - 维拉索罗代数

Super-biderivations of not-finitely graded Lie super algebras related to generalized super-Virasoro algebras

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