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
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
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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