Gyrogroups in Projective Hyperbolic Clifford Analysis

DOI10.1007/978-3-0346-0246-4_5zbMath1213.20067OpenAlexW2225334308MaRDI QIDQ5392619

Milton Ferreira

Publication date: 13 April 2011

Published in: Hypercomplex Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0346-0246-4_5

zbMATH Keywords

Möbius additionLorentz groupgyrogroupsEinstein additionproper velocity addition

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Special relativity (83A05) Structure and representation of the Lorentz group (22E43) Spin and Spin({}^c) geometry (53C27) Loops, quasigroups (20N05) Clifford algebras, spinors (15A66) Differential geometry of webs (53A60)

Related Items (6)

The Algebra of Gyrogroups: Cayley’s Theorem, Lagrange’s Theorem, and Isomorphism Theorems ⋮ Novel Tools to Determine Hyperbolic Triangle Centers ⋮ Einstein gyrogroup as a B-loop ⋮ On commutator-inversion invariant groups and gyrogroup construction ⋮ Involutive groups, unique 2-divisibility, and related gyrogroup structures ⋮ Parametrization of generalized Heisenberg groups

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