Möbius gyrogroups: a Clifford algebra approach.

DOI10.1016/j.jalgebra.2010.05.014zbMath1246.20062OpenAlexW2047279941MaRDI QIDQ536176

Yong-Cai Geng, Sumit K. Garg

Publication date: 16 May 2011

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10400.8/3817

zbMATH Keywords

finite-dimensional real Clifford algebrasMöbius fiber bundlesMöbius gyrogroupsMöbius projectors

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Special relativity (83A05) Structure and representation of the Lorentz group (22E43) Loops, quasigroups (20N05) Clifford algebras, spinors (15A66) Differential geometry of webs (53A60) Factorization systems, substructures, quotient structures, congruences, amalgams (18A32) Quadratic spaces; Clifford algebras (11E88)

Related Items (16)

Quotient with respect to admissible \(L\)-subgyrogroups ⋮ On a notion of complex Möbius gyrovector spaces ⋮ The Algebra of Gyrogroups: Cayley’s Theorem, Lagrange’s Theorem, and Isomorphism Theorems ⋮ Novel Tools to Determine Hyperbolic Triangle Centers ⋮ On paravectors and their associated algebras ⋮ Einstein gyrogroup as a B-loop ⋮ The Einstein relativistic velocity model of hyperbolic geometry and its plane separation axiom ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ An Inequality Related to Möbius Transformations ⋮ Involutive groups, unique 2-divisibility, and related gyrogroup structures ⋮ Extension of the Švarc-Milnor lemma to gyrogroups ⋮ Harmonic analysis on the Möbius gyrogroup ⋮ Feathered gyrogroups and gyrogroups with countable pseudocharacter ⋮ Gyrogroup actions: a generalization of group actions

Cites Work

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