Kupershmidt-(dual-)Nijenhuis structure on the alternative algebra with a representation

DOI10.1142/S0219498821500973zbMath1492.16037OpenAlexW3008028785MaRDI QIDQ4998008

Qinxiu Sun

Publication date: 1 July 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498821500973

zbMATH Keywords

alternative algebraalternative \(r\)-matrix-Nijenhuis structureKupershmidt operatorKupershmidt-(dual-)Nijenhuis structureNijenhuis pairRota-Baxter-Nijenhuis structure

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Deformations of associative rings (16S80) Bialgebras (16T10) Yang-Baxter equations (16T25)

Related Items

Kupershmidt operators on Hom-Malcev algebras and their deformation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Prealternative algebras and prealternative bialgebras
• An analytic problem whose solution follows from a simple algebraic identity
• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
• What a Classical r-Matrix Really Is
• Kupershmidt-(dual-)Nijenhuis structures on a Lie algebra with a representation
• Invariant Poisson–Nijenhuis structures on Lie groups and classification
• Nijenhuis operators on pre-Lie algebras
• A unified algebraic approach to the classical Yang–Baxter equation
• Representations of Alternative Algebras
• On the Algebras Formed by the Cayley-Dickson Process