Results 81 to 90 of about 47,483 (247)
Probing Clifford Algebras Through Spin Groups: A Standard Model Perspective [PDF]
Armando Reynoso
openalex +1 more source
Circles and Clifford Algebras [PDF]
Consider a smooth map from a neighborhood of the origin in a real vector space to a neighborhood of the origin in a Euclidean space. Suppose that this map takes all germs of lines passing through the origin to germs of Euclidean circles, or lines, or a point. We prove that under some simple additional assumptions this map takes all lines passing though
openaire +2 more sources
Differential forms versus multi-vector functions in Hermitean Clifford analysis
Similarities are shown between the algebras of complex differential forms and of complex Clifford algebra-valued multi-vector functions in an open region of Euclidean space of even dimension.Se presentan las similitudes entre las álgebras de formas ...
F Brackx +2 more
doaj
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.
Emerson Dionísio Belançon +1 more
doaj +1 more source
A Symbolic Algorithm for Computation of Non-degenerate Clifford Algebra Matrix Representations
Clifford algebras are an active area of mathematical research. The main objective of the paper is to exhibit a construction of a matrix algebra isomorphic to a Clifford algebra of signature (p,q), which can be automatically implemented using general ...
Prodanov, Dimiter
core
Szegő projections for hardy spaces of monogenic functions and applications
We introduce Szegő projections for Hardy spaces of monogenic functions defined on a bounded domain Ω in ℝn. We use such projections to obtain explicit orthogonal decompositions for L2(bΩ).
Swanhild Bernstein, Loredana Lanzani
doaj +1 more source
Does Geometric Algebra Provide a Loophole to Bell’s Theorem?
In 2007, and in a series of later papers, Joy Christian claimed to refute Bell’s theorem, presenting an alleged local realistic model of the singlet correlations using techniques from geometric algebra (GA).
Richard David Gill
doaj +1 more source
Monogenic Functions in Conformal Geometry
Monogenic functions are basic to Clifford analysis. On Euclidean space they are defined as smooth functions with values in the corresponding Clifford algebra satisfying a certain system of first order differential equations, usually referred to as the ...
Michael Eastwood, John Ryan
doaj

