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Factorizations of Möbius gyrogroups
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Autores
Orientador(es)
Resumo(s)
In this paper, we consider a Möbius gyrogroup on a real Hilbert space (of finite or infinite dimension) and we obtain its factorization by gyrosubgroups and subgroups. It is shown that there is a duality relation between the quotient spaces and the orbits obtained. As an example, we present the factorization of the Möbius gyrogroup of the unit ball in R^n linked to the proper Lorentz group Spin+(1, n).
Descrição
Palavras-chave
Möbius gyrogroups Hilbert spaces Quotient spaces Sections
Contexto Educativo
Citação
Ferreira M., Factorizations of Möbius gyrogroups, Adv. Appl. Clifford Algebr., 19 (2) (2009), 303-323.
Editora
Birkhäuser-Verlag