Kupershmidt-(dual-)Nijenhuis structures on a Lie algebra with a representation

In this paper, first we study infinitesimal deformations of a Lie algebra with a representation and introduce the notion of a Nijenhuis pair, which gives a trivial deformation of a Lie algebra with a representation. Then we introduce the notion of a Kupershmidt-(dual-)Nijenhuis structure on a Lie al...

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Veröffentlicht in:	arXiv.org 2020-04
Hauptverfasser:	Hu, Yuwang, Liu, Jiefeng, Sheng, Yunhe
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Deformation Lie groups Mathematics - Mathematical Physics Mathematics - Representation Theory Mathematics - Rings and Algebras Operators (mathematics) Physics - Mathematical Physics Representations
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