One-dimensional Quaternion Fourier Transform and Some Applications
Bulletin of Computational Applied Mathematics, 2021 The Fourier transform is a very useful tool in many areas. This transform has been defined in many contexts, as complex numbers, quaternions, and Clifford algebras.
Eusebio Ariza García +2 more
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Structural Properties of The Clifford–Weyl Algebra
MathematicsThe Clifford–Weyl algebra 𝒜q±, as a class of solvable polynomial algebras, combines the anti-commutation relations of Clifford algebras 𝒜q+ with the differential operator structure of Weyl algebras 𝒜q−. It exhibits rich algebraic and geometric properties.
Jia Zhang, Gulshadam Yunus
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Signature Change And Clifford Algebras
, 2015 Given the real Clifford algebra of a quadratic space with a given signature, we define a new product in this structure such that it simulates the Clifford product of a quadratic space with another signature different from the original one.
Miralles D., Parra J.M., Vaz Jr. J.
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Response to 'Comment on "Quantum correlations are weaved by the spinors of the Euclidean primitives"'. [PDF]
R Soc Open Sci, 2022 Christian J.
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Álgebras de Clifford: uma construção alternativa / [PDF]
, 1999 Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas.As estruturas de Álgebra Exterior e Álgebra de Clifford se relacionam por isomorfismo de espaço vetorial.
Silva, Ana Paula da Cunda Corrêa da
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Clifford and Cayley-Dickson algebras
, 2018 Orientador: Jayme Vaz JuniorDissertação (mestrado profissional) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação CientíficaResumo: Neste trabalho, estudamos de maneira geral os números hipercomplexos, com especial ...
Baldo, Heitor, 1989-
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A Study of LFT Embeddings in the Second Order Clifford Algebra
IEEE AccessKnowledge graph embedding models represent entities as vectors in continuous spaces and their relations by geometric transformations, mainly translation, and rotation.
Kossi Amouzouvi +5 more
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On Multimatrix Models Motivated by Random Noncommutative Geometry II: A Yang-Mills-Higgs Matrix Model. [PDF]
Ann Henri Poincare, 2022 Perez-Sanchez CI.
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Generalized Clifford Algebras as Algebras in Suitable Symmetric Linear Gr-Categories
, 2016 By viewing Clifford algebras as algebras in some suitable symmetric Gr-categories, Albuquerque and Majid were able to give a new derivation of some well known results about Clifford algebras and to generalize them.
Yang, Y., Huang, H.-L., Cheng, T.
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An exceptional G(2) extension of the Standard Model from the correspondence with Cayley-Dickson algebras automorphism groups. [PDF]
Sci Rep, 2021 Masi N.
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