Results 101 to 110 of about 47,483 (247)
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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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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Kinematic mappings for Cayley–Klein geometries via Clifford algebras [PDF]
, 2013 Daniel Klawitter, Markus Hagemann
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Developing GA-FuL: A Generic Wide-Purpose Library for Computing with Geometric Algebra
MathematicsThe Geometric Algebra Fulcrum Library (GA-FuL) version 1.0 is introduced in this paper as a comprehensive computational library for geometric algebra (GA) and Clifford algebra (CA), in addition to other classical algebras.
Ahmad Hosny Eid, Francisco G. Montoya
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Partially-massless higher spin algebras in four dimensions
Journal of High Energy PhysicsWe propose a realisation of partially-massless higher spin algebras in four dimensions in terms of bosonic and fermionic oscillators, using Howe duality between sp(4, ℝ) ≅ so(2, 3) and osp(1|2(ℓ − 1), ℝ).
Thomas Basile, Shailesh Dhasmana
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Möbius gyrogroups: A Clifford algebra approach
, 2010 M. Ferreira, Guangbin Ren
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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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A note on the wedge reversion antisymmetry operation and 51 types of physical quantities in arbitrary dimensions. [PDF]
Acta Crystallogr A Found Adv, 2023 Fabrykiewicz P.
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