Central extensions and deformations of Lie triple systems with a derivation
Central extensions and deformations of Lie triple systems with a derivation
Received:December 29, 2020  Revised:April 12, 2021
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中文关键词:  
英文关键词:Lie triple system, derivation, representation, cohomology, central extension, deformation.
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Author NameAffiliationAddress
Shuangjian Guo Guizhou University of Finance and Economics Huaxi University Town, Guiyang, Guizhou Province
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英文摘要:
      In this paper, we consider Lie triple systems with derivations. A pair consisting of a Lie triple system and a distinguished derivation is called a LietsDer pair. We define a cohomology theory for LietsDer pair with coefficients in a representation. We study central extensions of a LietsDer pair. In the next, we generalize the formal deformation theory to LietsDer pairs in which we deform both the Lie triple system bracket and the distinguished derivation. It is governed by the cohomology of LietsDer pair with coefficients in itself.
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