Results 81 to 90 of about 116 (103)

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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On the classification of Clifford algebras and their relation to spinors in n dimensions

Journal of Mathematical Physics, 1982
A classification of all the Clifford algebras is given in terms of Kronecker products of the quaternion and dihedral groups. The relationship to spinors in n dimensions is explicitly determined. We show that the real Clifford algebra in Minkowski spacetime is distinct from both the algebra of Dirac matrices and the algebra of Majorana matrices, and ...
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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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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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Clifford Spinors and Root System Induction: $$H_4$$ and the Grand Antiprism

Advances in Applied Clifford Algebras, 2021
Pierre-Philippe Dechant, Dechant Pierre-Philippe   +1 more
exaly  

Clifford algebras and spinors

2012
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On the classification of Clifford algebras and their relation to spinors in n dimensions

Journal of Mathematical Physics, 1982
Nikos Salingaros, Salingaros Nikos
exaly  

Clifford Algebra and Spinor-Valued Functions

1992
R. Delanghe, F. Sommen, V. Souček
openaire   +1 more source

Clifford Algebras and Spinor Structures

1995
openaire   +1 more source

Pauli theorem in the description of n-dimensional spinors in the Clifford algebra formalism

Theoretical and Mathematical Physics(Russian Federation), 2013
Dmitry Shirokov
exaly