Titlebook: Clifford Algebras and their Applications in Mathematical Physics; A. Micali,R. Boudet,J. Helmstetter Book 1992 Springer Science+Business M

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Real projective representations of real Clifford algebras and reflection groupsion groups over the field of complex numbers is now extended to the field of real numbers..Notation. ., . denote the reals, complexes and quaternions, respectively. If . is any field, .. denotes the . -dimensional vector space over . and .(.) denotes the matrix algebra of . matrices over ..

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Classification, properties and applications of the Majorana representations of the real Clifford algergravity 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 of the Lorentz group before the second World War.

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Generalized Clifford algebras and their representationserable interest in analogous algebras constructed for forms of higher degree. Because of the structure of these algebras, the most productive analysis seems to be via representations. General results about these representations are presented, and specific examples are demonstrated.

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978-90-481-4130-2Springer Science+Business Media B.V. 1992

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René Schmidpeter,Reinhard Altenburgerematical community. Several viruses inimical to the unity of mathematics are identified, and their deleterious characteristics are described. A strong dose of geometric algebra and calculus is the best medicine for both prevention and cure.

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https://doi.org/10.1007/978-3-030-30371-6inors form a space of dimension eight over an algebra of split quaternions while the complex spinors form a space of dimension eight over a singular division algebra. Properties of bilinear forms on both spaces are discussed and a comparison is made with spinors in dimension four. Explicit spinor ba