Results 91 to 100 of about 9,829 (125)
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 ...
Nikos Angelos Salingaros
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Matrix Representations and Classifications of Clifford Algebras
, 1997 Abstract In the first nine chapters, the intimate connection between differential geometry and Clifford algebra has been emphasized. However, some physicists have found applications for Clifford algebras which are virtually divorced from any underlying geometry.
John Snygg
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Classification and Representation of the Clifford Algebras
, 2016 AbstractIn this chapter, the classification and representation of Clifford algebras are introduced and discussed. Some important theorems regarding the structure of Clifford algebras are presented; later on, these are used for the classification and construction of the representations of the Clifford algebras as well. The periodicity theorems and their
Jayme Vaz, Roldão da Rocha
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A Classification of Clifford Algebras as Images of Group Algebras of Salingaros Vee Groups
Advances in Applied Clifford Algebras, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rafał Abłamowicz +2 more
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, 1992 We consider the cliffordalgebra of a quadratic space (E, Q) equipped with a quadratic form that extends Q. In the case where the characteristic of the base field k is 2, [\( \dot k:\dot k \) 2] is finite and the dimension of E is infinite but less than ℵω0 we characterize the extended form by a finite number of invariants.
Paul Schneider
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, 1992 Motivation: The notion of Majorana representations of Clifford algebras as well as the notion of Majorana (bi-) spinors is extensively used in the supergravity theory [1] as well as in the superstring and unified theories [2]. Originally, the concept of Majorana representation was introduced by Ettore Majorana in the context of spinor representations ...
Jakub Rembieliński
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Clifford Algebras, Projective Representations and Classification of Fundamental Particles
, 1986 We discuss the use of Clifford Algebras in the classification of elementary particles as an alternative to the use of unitary Lie groups as internal symmetry groups, their physical interpretation and advantages. The relation of Clifford algebras to the projective representations of finite groups is given.
A. O. Barut
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Clifford algebra multivectors and kernels for melanoma classification
, 2021 Mutlu Akar, Nikolay Sirakov, Mutlu Mete
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
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