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Representation of Integral Formulas for the Extended Quaternions on Clifford Analysis
MathematicsThis work addresses a significant gap in the existing literature by developing integral representation formulas for extended quaternion-valued functions within the framework of Clifford analysis. While classical Cauchy-type and Borel–Pompeiu formulas are
Ji Eun Kim
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Unitary canonical forms over Clifford algebras, and an observed unification of some real-matrix decompositions [PDF]
, 2022 Ran Gutin
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Some statistical aspects of the spinor field Fermi-Bose duality
Condensed Matter Physics, 2012 The structure of 29-dimensional extended real Clifford-Dirac algebra, which has been introduced in our paper Phys. Lett. A, 2011, Vol. 375, 2479, is considered in brief.
V.M. Simulik, I.Yu. Krivsky, I.L. Lamer
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Clifford algebras and universal sets of quantum gates [PDF]
, 2001 Alexander Yu. Vlasov
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Representation of the Hubbard model in the Clifford algebra [PDF]
, 1996 Francisco Guilt, Gabriel Álvarez
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Fermi-Bose duality of the Dirac equation and extended real Clifford-Dirac algebra
Condensed Matter Physics, 2010 We have proved on the basis of the symmetry analysis of the standard Dirac equation with nonzero mass that this equation may describe not only fermions of spin 1/2 but also bosons of spin 1.
I.Yu. Krivsky, V.M. Simulik
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Adinkras for Clifford Algebras, and Worldline Supermultiplets [PDF]
, 2008 Charles F. Doran +6 more
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Hochschild Cohomology and Deformations of Clifford-Weyl Algebras
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We give a complete study of the Clifford-Weyl algebra C(n,2k) from Bose-Fermi statistics, including Hochschild cohomology (with coefficients in itself). We show that C(n,2k) is rigid when n is even or when k ≠ 1. We find all non-trivial deformations of C(
Ian M. Musson +2 more
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Advanced Color Edge Detection Using Clifford Algebra in Satellite Images [PDF]
, 2021 Uzair Aslam Bhatti +8 more
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