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Keyword

bivectors

Description: Bivectors are elements of exterior or geometric algebra representing oriented plane elements formed from pairs of vectors.
Wikidata ID: wiki/Q663908
OpenAlex ID: keywords/bivectors
Geometric Algebra for Physicists
2003 · Chris Doran, Anthony Lasenby · Cambridge University Press eBooks · 960
Quaternions and Cayley Numbers: Algebra and Applications
1997 · John Ward · 168
WZW–Poisson manifolds
2002 · C. Klimčı́k, T. Strobl · Journal of Geometry and Physics · 141
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Bivectors and Waves in Mechanics and Optics
1993 · Ph. Boulanger, M. Hayes · Springer eBooks · 129
Die Lineale Ausdehnungslehre ein neuer Zweig der Mathematik
2012 · Hermann Grassmann · Cambridge University Press eBooks · 120
Quantum simplicial geometry in the group field theory formalism: reconsidering the Barrett–Crane model
2011 · Aristide Baratin, Daniele Oriti · New Journal of Physics · 91
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Least squares range difference location
1996 · R. Schmidt · IEEE Transactions on Aerospace and Electronic Systems · 83
A spin foam model for general Lorentzian 4-geometries
2010 · Florian Conrady, Jeff Hnybida · Classical and Quantum Gravity · 57
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Yang-Baxter deformations beyond coset spaces (a slick way to do TsT)
2018 · I. Bakhmatov, E. Ó Colgáin, et al. · Journal of High Energy Physics · 46
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Square Roots of –1 in Real Clifford Algebras
2013 · Eckhard Hitzer, Jacques Helmstetter, et al. · Springer eBooks · 44
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DIFFERENTIAL FORMS AND ELECTROMAGNETIC FIELD THEORY (Invited Paper)
2014 · Karl F. Warnick, Peter H. Russer · Electromagnetic waves · 38
Differential and inverse kinematics of robot devices using conformal geometric algebra
2006 · Eduardo Bayro-Corrochano, Julio Zamora-Esquivel · Robotica · 38
Conserved quantities at spatial and null infinity: The Penrose potential
1990 · Joshua N. Goldberg · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 38
Hermann Grassmann and the Creation of Linear Algebra
1979 · Desmond Fearnley-Sander · American Mathematical Monthly · 38
Properties of shear-free congruences of null geodesics
1976 · P. Sommers · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 36
Leptons, Quarks, and Gauge from the Complex Clifford Algebra $$\mathbb {C}\ell _6$$ C ℓ 6
2018 · Ovidiu Cristinel Stoica · Advances in Applied Clifford Algebras · 34
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Elements of vector analysis : arranged for the use of students in physics
1881 · J. Willard Gibbs · 31
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Euler-Rodrigues and Cayley Formulae for Rotation of Elasticity Tensors
2008 · A.N. Norris · Mathematics and Mechanics of Solids · 30
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Geometry, Kinematics, and Rigid Body Mechanics in Cayley-Klein Geometries
2011 · Gunn, Charles · DepositOnce · 29
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Metrics and dual operators
1991 · Gerald Harnett · Journal of Mathematical Physics · 26
Electromagnetic plane waves in anisotropic media: an approach using bivectors
1990 · Ph. Boulanger, M. Hayes · Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences · 26
Jacobienne locale d'une courbe formelle relative
2013 · Carlos Contou-Carrère · Rendiconti del Seminario Matematico della Università di Padova · 25
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3D Oriented Projective Geometry Through Versors of $${\mathbb{R}^{3,3}}$$ R 3 , 3
2015 · Leo Dorst · Advances in Applied Clifford Algebras · 22
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Linear transformations in unitary geometric algebra
1993 · Garret Sobczyk · Foundations of Physics · 22
Homogeneous Rigid Body Mechanics with Elastic Coupling
2002 · David Hestenes, Ernest D. Fasse · Birkhäuser Boston eBooks · 21
Works count: 394
Citation count: 3,081
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