The design of linear algebra and geometry

DOI10.1007/BF00046920zbMath0742.51001MaRDI QIDQ1175629

David Hestenes

Publication date: 25 June 1992

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

projective transformationsClifford algebracoordinate-free formulation of projective geometry

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66) General theory of linear incidence geometry and projective geometries (51A05) Geometry (51-XX)

Related Items (17)

κ-DEFORMED POINCARÉ ALGEBRAS AND QUANTUM CLIFFORD–HOPF ALGEBRAS ⋮ Crystallographic space groups in geometric algebra ⋮ A framework for on-line calibration of LINAC devices ⋮ Group-algebraic characterization of spin particles: semi-simplicity, \(\mathrm{SO}(2N)\) structure and Iwasawa decomposition ⋮ A geometric interpretation of LD-resolution ⋮ A framework for assumption-free assessment of imperfect geometry of a linac C-arms ⋮ CONFORMAL STRUCTURES AND TWISTORS IN THE PARAVECTOR MODEL OF SPACETIME ⋮ THz-TDS signal analysis and substance identification via the conformal split ⋮ The geometric algebra \({\mathcal C}\ell_3\) as a model for a projective plane ⋮ Projective geometry with Clifford algebra ⋮ Projective relativity: Present status and outlook ⋮ Clifford algebra valued boundary integral equations for three-dimensional elasticity ⋮ Syntactic Unification as a Geometric Operation in Free Modules over certain Rings ⋮ Pose estimation in conformal geometric algebra. I: The stratification of mathematical spaces ⋮ Lie groups as spin groups ⋮ Grassmann calculus, pseudoclassical mechanics, and geometric algebra ⋮ Gauge theory gravity with geometric calculus

Cites Work

• Clifford algebra to geometric calculus. A unified language for mathematics and physics
• Projective geometry with Clifford algebra
• A general method of generating and classifying Clifford algebras
• Conformal Transformations and Clifford Algebras
• On the classification of Clifford algebras and their relation to spinors in n dimensions
• Conformal Group in Space-Time
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