Titlebook: Clifford Algebras and their Applications in Mathematical Physics; Volume 1: Algebra an Rafał Abłamowicz,Bertfried Fauser Book 2000 Springer

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Beyond Method and Towards Accountability,tities” and of “the distinction, if any exists, between exterior forms and exterior differential forms.” The three series of indices that enter the . of the Kahler calculus are then interpreted..When endowed with a vector-valued potential (the potential and wave-function of electrodynamics being sca

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Libuše Svobodová,Dorota Bednarska-Olejniczakuct * and the dual inner product o, and sheds new light on the duality relation between the progressive and regressive outer products of the Clifford algebra. On the firm base of this dual approach, the projective principle of duality is formulated in this completeness for the first time in the lang

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Lucas Gumbi,Hossana Twinomurinzin developing and employing in our research on a Clifford algebra approach to hyperbolic geometry and automated geometry theorem proving. Our work shows that, following this approach, not only can we reformulate existing results with improvements and generalizations, but we also can make new discover

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Lecture Notes in Computer Science geometry of spacetime itself may be dictated by the renormalization processes in quantum field theories. Two recently discovered and intimately related Hopf algebras — the Hopf algebra for the computation of the local index formula of transversally hypoelliptic operators and the algebra of renormal

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Multiparavector Subspaces of Cℓn: Theorems and Applicationsditional applications use only homogeneous elements (elements of a single grade) to model physical entities such as spacetime vectors in relativity and their transformations. Lower-dimensional realizations of the structures inherent in physical systems are sometimes afforded by exploiting mixed-grad

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Quaternionic Spinsless particles on an equal footing. The resulting description has the correct number of spin/helicity states to be a generation of leptons. Furthermore, precisely three such generations naturally combine into an octonionic description of the 10-dimensional massless Dirac equation, as previously dis

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