Linear Algebra and Geometry

DOI10.1007/978-3-642-30994-6zbMath1256.15001OpenAlexW1995238279MaRDI QIDQ2901900

I. R. Shafarevich, Alexey O. Remizov

Publication date: 31 July 2012

Full work available at URL: https://doi.org/10.1007/978-3-642-30994-6

zbMATH Keywords

finite groupseigenvaluesinvariant subspaceaffine spacesdeterminantsGrassmannianshyperbolic spacesprojective spacerepresentationsPlücker relationsbilinear formsGaussian eliminationmatriceshyperbolic geometryirreducible representationsabelian groupHermitian formLorentz transformationJordan normal formaffine transformationvector spacesprojective transformationlinear transformationssystems of linear equationsEuclidean spacesorthogonal transformationexterior productsPlücker coordinatesEuclidean ringfinite abelian groupexterior algebrasLobachevskian geometryprojective analytic geometrylinear algebra (textbook)symmetric transformationtorsion modul

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Ordinary representations and characters (20C15) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to geometry (51-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to linear algebra (15-01) Basic linear algebra (15Axx) Linear algebra (educational aspects) (97H60) Analytic geometry, vector algebra (educational aspects) (97G70) Analytic and descriptive geometry (51Nxx)

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