Results 71 to 80 of about 579 (182)
Structure of factor algebras and clifford algebra
Linear Algebra and its Applications, 1996 This paper is concerned with the generalized spectral decomposition or eigenprojector form of a linear operator over any field that is a splitting field of its minimal polynomial. A number system is constructed which is isomorphic to the factor ring \(\mathbb{C} [\lambda]/ \langle\psi \rangle\) for an arbitrary polynomial \(\psi\).
openaire +2 more sources
Differential forms versus multi-vector functions in Hermitean Clifford analysis
Cubo, 2011 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
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Um passeio por várias álgebras na descrição do momento angular
Revista Brasileira de Ensino de FísicaResumo 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
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Does Geometric Algebra Provide a Loophole to Bell’s Theorem?
Entropy, 2019 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
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Monogenic Functions in Conformal Geometry
Symmetry, Integrability and Geometry: Methods and Applications, 2007 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
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Szegő projections for hardy spaces of monogenic functions and applications
International Journal of Mathematics and Mathematical Sciences, 2002 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
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Remarks on Q-oscillators representation of Hopf-type boson algebras
Le Matematiche, 1998 We present a method of constructing known deformed or undeformed oscillators as quotients of certain models of Hopf-type oscillator algebras, using similar techniques to those of determining fix point sets of the adjoint action of a Hopf algebra ...
Anna Maria Paolucci, Ioannis Tsohantjis
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Representation of Integral Formulas for the Extended Quaternions on Clifford Analysis
MathematicsThis work addresses a significant gap in the existing literature by developing integral representation formulas for extended quaternion-valued functions within the framework of Clifford analysis. While classical Cauchy-type and Borel–Pompeiu formulas are
Ji Eun Kim
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Some statistical aspects of the spinor field Fermi-Bose duality
Condensed Matter Physics, 2012 The structure of 29-dimensional extended real Clifford-Dirac algebra, which has been introduced in our paper Phys. Lett. A, 2011, Vol. 375, 2479, is considered in brief.
V.M. Simulik, I.Yu. Krivsky, I.L. Lamer
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Fermi-Bose duality of the Dirac equation and extended real Clifford-Dirac algebra
Condensed Matter Physics, 2010 We have proved on the basis of the symmetry analysis of the standard Dirac equation with nonzero mass that this equation may describe not only fermions of spin 1/2 but also bosons of spin 1.
I.Yu. Krivsky, V.M. Simulik
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