Geometric matrix algebra

DOI10.1016/j.laa.2007.06.015zbMath1149.15024OpenAlexW2086679389MaRDI QIDQ935385

Garret Sobczyk

Publication date: 6 August 2008

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2007.06.015

zbMATH Keywords

quaternionsClifford algebraconformal geometryKronecker productgeometric invariantsgeometric algebraMöbius transformationtwistorconformal transformationhorospherematrix multiplication

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Clifford algebras, spinors (15A66) Orthogonal and unitary groups in metric geometry (51F25)

Related Items (6)

Automatic multivector differentiation and optimization ⋮ Group-algebraic characterization of spin particles: semi-simplicity, \(\mathrm{SO}(2N)\) structure and Iwasawa decomposition ⋮ Algebra of complex vectors and applications in electromagnetic theory and quantum mechanics ⋮ Unnamed Item ⋮ Complex vector formalism of harmonic oscillator in geometric algebra: particle mass, spin and dynamics in complex vector space ⋮ Algebraic Entropies for Abelian Groups with Applications to the Structure of Their Endomorphism Rings: A Survey

Uses Software

• CLIFFORD

Cites Work

• Projective geometry with Clifford algebra
• Geometric algebra in linear algebra and geometry
• Computer Algebra and Geometric Algebra with Applications
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