Ternary algebraic structures and their applications in physics

Abstract

We discuss certain ternary algebraic structures appearing more or less naturally in various domains of theoretical and mathematical physics. Far from being exhaustive, this article is intended above all to draw attention to these algebras, which may find more interesting applications in the years to come.

15 pages, LaTeX. To be published in the proceedings of the Conference ICGTMP "Group-23", Dubna, Russia, July 30 - August 6, 2000

Cited by in corpus (12)

• Classical and Quantum Nambu Mechanics
• Ternary Hom-Nambu-Lie algebras induced by Hom-Lie algebras
• Generalization of n-ary Nambu algebras and beyond
• Construction of n-Lie algebras and n-ary Hom-Nambu-Lie algebras
• Around the Hosszú-Gluskin theorem for $n$-ary groups
• Ternary q-Virasoro-Witt Hom-Nambu-Lie algebras
• Finite-dimensional Lie algebras of order F
• Bi-element representations of ternary groups
• Ternary numbers and algebras. Reflexive numbers and Berger graphs
• k-Leibniz algebras from lower order ones: from Lie triple to Lie l-ple systems
• Hyperpolyadic structures
• Polyadic supersymmetry