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Deformation of Kupershmidt operators and Kupershmidt-Nijenhuis structures of a Malcev algebra
2022
Journal:  
Hacettepe Journal of Mathematics and Statistics
Author:  
DOI:  
10.15672/hujms.923905
Abstract:

The aim of this paper is to study infinitesimal deformations of a Malcev algebra with a representation and introduce the notion of Nijenhuis pair, which gives a trivial deformation of a Malcev algebra with a representation. We introduce the notion of Kupershmidt-(dual-)Nijenhuis structure on a Malcev algebra with a representation. Furthermore, we show that a Kupershmidt-(dual-)Nijenhuis structure gives rise to a hierarchy of Kupershmidt operators. Finally, we establish a deformation theory of Kupershmidt operators in consistence with the general principles of deformation theories and introduce the notion of Nijenhuis elements.

Keywords:

2022
Journal:  
Hacettepe Journal of Mathematics and Statistics
Author:  
DOI:  
10.15672/hujms.923905
0
2022
Journal:  
Hacettepe Journal of Mathematics and Statistics
Author:  
DOI:  
10.15672/hujms.923905
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Hacettepe Journal of Mathematics and Statistics

Field :   Fen Bilimleri ve Matematik

Journal Type :   Uluslararası

Metrics
Article : 1.771
Cite : 682
2023 Impact : 0.004
Details
Hacettepe Journal of Mathematics and Statistics