New Foundations in Mathematics

DOI10.1007/978-0-8176-8385-6zbMath1273.53001arXiv0710.0092OpenAlexW2502350072MaRDI QIDQ4904941

Garret Sobczyk

Publication date: 13 February 2013

Full work available at URL: https://arxiv.org/abs/0710.0092

zbMATH Keywords

symmetric groupsLie groupsbilinear formsmatriceslinear formscurvesLie algebrasprojective transformationsgeneral relativitysurfacesconformal transformationsgeometric algebraMöbius transformationlinear transformationsmodular polynomialsmodular numbers

Mathematics Subject Classification ID

Special relativity (83A05) Lie algebras of Lie groups (22E60) Differentiable manifolds, foundations (58A05) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry (53-01) Lie algebras of linear algebraic groups (17B45) Mathematics in general (00A05) Symmetric groups (20B30) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mathematics in general (00-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to linear algebra (15-01) Classical differential geometry (53Axx) Analytic and descriptive geometry (51Nxx)

Related Items (9)

Integration of functions of a hyperbolic variable ⋮ Exponential and logarithm of multivector in low-dimensional (n = p + q < 3) Clifford algebras ⋮ Hyperbolic Number Forms of the Euler-Savary Equation ⋮ Parabolic trigonometry ⋮ Hybrid complex numbers: the matrix version ⋮ Geometric algebras of light cone projective graph geometries ⋮ Algebra of complex vectors and applications in electromagnetic theory and quantum mechanics ⋮ Higher spin quaternion waves in the Klein-Gordon theory ⋮ Notes on Plücker's relations in geometric algebra

Uses Software

• Mathematica
• MSC

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