Quaternion Algebra
Mostrando 1-5 de 5 artigos, teses e dissertações.
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1. Um passeio por várias álgebras na descrição do momento angular
Resumo A forma mais comum de definir matematicamente o momento angular é através da operação de produto vetorial como definido por Josiah Willard Gibbs e ao mesmo tempo por Oliver Heaviside. Neste sentido, a contribuição deste artigo é mostrar que a definição do momento angular também pode ser feita usando outros sistemas algébricos existentes e m
Rev. Bras. Ensino Fís.. Publicado em: 08/11/2018
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2. Arithmetic fuchsian groups identified in quaternion orders for the construction of signal constellations / Grupos fuchsianos aritmeticos identificados em ordens dos quaternios para construção de constelações de sinais
Within the context of digital communications system in homogeneous space in particular, in hyperbolic spaces, it is necessary to establish systematic procedure for the construction of lattices O ; as the basic entity for construction of eometrically uniforms signal constellations. By this procedure we identify the algebraic and geometric structures to constr
Publicado em: 2007
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3. Tópicos de álgebras alternativas / Topics in Alternative Algebras
We studied some aspects of alternative algebras, in special the bar radical of an alternative baric algebra and identities of degree 4 and 5 of Cayley-Dickson algebras. We made significant use of the Peirce decomposition and several properties of the alternative algebras, in order to show that the only identities of degree four are the trivial ones, and the
Publicado em: 2007
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4. On a classification of the integral rings, finite semigroups and RA-loops with the hyperbolic property / Sobre uma classificação dos anéis de inteiros, dos semigrupos finitos e dos RA-loops com a propriedade hiperbólica
For a given division algebra of a quaternion algebra, we construct and define two types of units of its $\Z$-orders: Pell units and Gauss units. Also, for the quadratic imaginary extensions over the racionals and some fixed group $G$, we classify the algebraic integral rings for which the unit group ring is a hyperbolic group. We also classify the finite sem
Publicado em: 2006
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5. Parametrizations of elliptic curves by Shimura curves and by classical modular curves
Fix an isogeny class 𝒜 of semistable elliptic curves over Q. The elements of 𝒜 have a common conductor N, which is a square-free positive integer. Let D be a divisor of N which is the product of an even number of primes—i.e., the discriminant of an indefinite quaternion algebra over Q. To D we associate a certain Shimura curve X0D(N/D), whose
The National Academy of Sciences of the USA.