Results 121 to 130 of about 249 (143)
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Spinor-valued and Clifford algebra-valued harmonic polynomials
Journal of Geometry and Physics, 2001In 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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Clifford Algebras, Pure Spinors and the Physics of Fermions
2004The 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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Parallel Transport of Algebraic Spinors on Clifford Manifolds
2001A 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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On the classification of Clifford algebras and their relation to spinors in n dimensions
Journal of Mathematical Physics, 1982Nikos A Salingaros, Salingaros Nikos
exaly
Pauli theorem in the description of n-dimensional spinors in the Clifford algebra formalism
Theoretical and Mathematical Physics(Russian Federation), 2013Dmitry Shirokov
exaly
Clifford Algebra and Spinor-Valued Functions
1992R. Delanghe, F. Sommen, V. Souček
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An explicit realization of spinor spaces and its application to clifford analysis
Applicable Analysis, 1992R Delanghe, F Sommen, Vladimir Soucek
exaly