On the ternary complex analysis and its applications

DOI10.1063/1.2827469zbMath1153.81393arXiv0711.0809OpenAlexW2021261669WikidataQ56967953 ScholiaQ56967953MaRDI QIDQ3544587

Guennadi Volkov, Lev N. Lipatov, Michel Rausch de Traubenberg

Publication date: 8 December 2008

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.0809

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Electromagnetic interaction; quantum electrodynamics (81V10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Exponential and trigonometric functions (33B10)

Related Items (6)

INTERNAL SYMMETRY GROUPS OF CUBIC ALGEBRAS ⋮ Complex Ternary Analysis and Applications ⋮ Gleason's problem associated to a real ternary algebra and applications ⋮ Fractals and chaos related to Ising-Onsager-Zhang lattices. Quaternary approach vs. ternary approach ⋮ Ternary \(Z_3\)-symmetric algebra and generalized quantum oscillators ⋮ Ternary Clifford algebras

Cites Work

• Approximate homomorphisms of ternary semigroups
• Generalized homologies for the zero modes of the \(SU(2)\) WZNW model
• Commutative extended complex numbers and connected trigonometry
• Universal differential calculus on ternary algebras
• Extended complex number analysis and conformal-like transformations
• The cubic chessboard
• Generalized Hamiltonian Dynamics
• Sur l'équation de M. Pierre Humbert

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