Hopf Structure in Nambu-Lie n-Algebras
A. E. Santana, R. Muradian
TL;DR
This paper introduces the concept of Hopf structures in Nambu-Lie n-algebras, extending algebraic frameworks to ternary and n-ary cases, and analyzes specific examples of these structures.
Contribution
It defines Hopf structures in ternary and n-ary Nambu-Lie algebras and introduces fundamental concepts like 3-coalgebra, 3-bialgebra, and Hopf 3-algebra.
Findings
Examples of Hopf structures are analyzed.
Fundamental concepts of 3-coalgebra, 3-bialgebra, and Hopf 3-algebra are introduced.
Extension of Hopf algebra theory to n-ary Nambu-Lie algebras.
Abstract
We give a definition and study Hopf structures in ternary (and n-ary) Nambu-Lie algebra. The fundamental concepts of 3-coalgebra, 3-bialgebra and Hopf 3- algebra are introduced. Some examples of Hopf structures are analyzed.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology