Results 71 to 80 of about 249 (143)
Clifford algebras and representations of complex orthogonal groups
, 1972 The 2v-dimensional spinor representations of the complex orthogonal group SO(M, C) (M = 2v + 2) are discussed. By making use of the possibility of regarding the elements of the Clifford algebra C2v as sets of skewsymmetric tensors in M dimensions (rather
Lord, Eric A
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A Clifford Algebra Approach To The Classical Problem Of A Charge In A Magnetic Monopole Field
, 2015 The motion of an electric charge in the field of a magnetic monopole is described by means of a Lagrangian model written in terms of the Clifford algebra of the physical space.
Vaz, J, Vaz Jr. J.
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, 2016 We begin showing that for even dimensional vector spaces $V$ all automorphisms of their Clifford algebras are inner. So all orthogonal transformations of $V$ are restrictions to $V$ of inner automorphisms of the algebra.
Marco Budinich, BUDINICH, MARCO
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The transformations of spinors
, 2017 We begin showing that for even dimensional vector spaces V all automorphisms of their Clifford algebras are inner. So all orthogonal transformations of V are restrictions to V of inner automorphisms of the algebra. Thus under orthogonal transformations P
Marco Budinich, BUDINICH, MARCO
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The Hyperbolic Spinor Representation of Transformations in R-1(3) by Means of Split Quaternions
, 2018 In this study, firstly, we give a different approach to the relationship between the split quaternions and rotations in Minkowski space R-1(3). In addition, we obtain an automorphism of the split quaternion algebra H' corresponding to a rotation in R-1(3)
Tosun, Murat +6 more
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Multiform And Extensor Calculus
, 2015 [No abstract available]7221960Ablamowicz, R., Lounesto, P., Maks, J., Conference Report: Second Workshop on Clifford Algebras and their Applications in Mathematical Physics (1991) Found. Phys, 21, pp. 735-748Arcuri, R.C., Conformal and Critical Embedding,
Rodrigues W.A., de Oliveira E.C.
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Scalar anomaly cancellation reveals the hidden superalgebraic structure of the quantum chiral SU(2/1) model of leptons and quarks. [PDF]
J High Energy Phys, 2020 Thierry-Mieg J.
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Linear Representation of Lower Dimensional Clifford Algebras
, 2015 Clifford algebras were originally introduced to generalize the set of quaternions to higher dimensions. Since these algebras are vector spaces, we can apply methods from Linear Algebra to better understand them. In particular, we can view its elements as
Suarez, Ricardo
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Exotic Spinorial Structure and Black Holes in General Relativity
, 2018 We explore different (and complementary) views of spinors and their exotic counterparts, linking the very existence of the later to the presence of black holes.
Beghetto, D. +5 more
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, 1986 Chevalley gave a comprehensive treatment of pure spinors for Clifford algebras whose quadratic form has maximal index. We here show how the notion of pure spinor can be extended to the real Clifford algebras associated with quadratic forms with r+2 ...
Benn, Ian, Tucker, Robin
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