Results 71 to 80 of about 115 (111)

An Introduction to Clifford Algebras and Spinors

2016
AbstractThis book is unique in the literature on spinors and Clifford algebras in that it is accessible to both students and researchers while maintaining a formal approach to these subjects. Besides thoroughly introducing several aspects of Clifford algebras, it provides the geometrical aspects underlying the Clifford algebras, as well as their ...
Jayme Vaz, Jr., Roldão da Rocha, Jr.
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Clifford Algebras and Spinor Groups

2002
In this chapter, we generalise the quaternions by studying the real Clifford algebras, and our account of these is heavily influenced by the classic paper of Atiyah, Bott & Shapiro [3]; Porteous [23, 24] also provides an accessible description, as does Curtis [7] but there are some errors and omissions in that account. Lawson & Michelsohn [19] provides
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Gauge transformations of spinors within a Clifford algebraic structure

Journal of Physics A: Mathematical and General, 1999
The paper consists of 6 sections and 2 appendices. Section 1 analyzes the notion of algebraic spinors as minimal left ideals of Clifford algebras. In section 2 gauge transformations are considered as two-sided equivalence transformations of a complete algebra, including the spinors.
Chisholm, J. S. R., Farwell, R. S.
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The Clifford Algebra of Physical Space and Elko Spinors

International Journal of Theoretical Physics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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LUCY: A Clifford Algebra Approach to Spinor Calculus

1996
LUCY is a MAPLE program that exploits the general theory of Clifford algebras to effect calculations involving real or complex spinor algebra and spinor calculus on manifolds in any dimension. It is compatible with both release 2 and release 3 of MAPLE V and incorporates a number of valuable facilities such as multilinearity of the Clifford product and
Schray, Jörg, Tucker, Robin, Wang, Charles   +2 more
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Clifford algebras, spinors and finite geometries

2008
The pleasant incidence properties of the finite projective geometry PG(m,2) are invoked in order to handle nicely certain commutativity/anti-commutativity aspects of the real Clifford algebras Cl(O,d), d = |PG(m,2)|= 2m+1 - 1 , m = 2,3, ...
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Spinor-valued and Clifford algebra-valued harmonic polynomials

Journal of Geometry and Physics, 2001
In the paper under review the author gives some decompositions of the spinor-valued and Clifford algebra-valued harmonic polynomials on \( \mathbb{R} ^n \) and proves that each component of the decompositions is an irreducible representation space with respect to the Lie group \( \text{Spin} (n) \).
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce, Lorenzo Cohen, Karen M Mustian   +2 more
exaly  

Parallel Transport of Algebraic Spinors on Clifford Manifolds

2001
A Clifford manifold is defined by a position-dependent frame field eμ(x) and metric g μν (x), satisfying the anti-commutation rule e μ ,e ν = g μν I At each point x, orthonormal basis vector sets define the tangent space and the spin group. The Riemannian and spin connections are defined by imposing covariance under coordinate and spin group ...
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Clifford Algebras, Pure Spinors and the Physics of Fermions

2004
The equations defining pure spinors are interpreted as equations of motion formulated on the lightcone of momentum space P = ℝ1, 9. Most of the equations for fermion multiplets, usually adopted by particle physics, are then naturally obtained and their properties, such as internal symmetries, charges, and families, appear to be due to the correlation ...
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