Nonlinear similarity of matrices

DOI10.1090/S0273-0979-1979-14688-3zbMath0449.57012MaRDI QIDQ3896268

Julius L. Shaneson, Sylvain E. Cappell

Publication date: 1979

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

representation of groupslinearly similarmatrices with eigenvalues of modulus onenon-linear similarity

Mathematics Subject Classification ID

Finite transformation groups (57S17) Representation theory of groups (20C99)

Related Items (14)

Topological classification of sesquilinear forms: reduction to the nonsingular case ⋮ Topological classification of the oriented cycles of linear mappings ⋮ Topological classification of Möbius transformations ⋮ Topological classification of affine operators on unitary and Euclidean spaces ⋮ Topological classification of chains of linear mappings ⋮ Topologically equivalent two-dimensional isometries ⋮ Regularizing decompositions for matrix pencils and a topological classification of pairs of linear mappings ⋮ Dynamical classification for complex matrices ⋮ Topological classification of systems of bilinear and sesquilinear forms ⋮ Minimal subsystems of affine dynamics on local fields ⋮ Nonlinear similarity and differentiability ⋮ Fixed points of periodic differentiable maps ⋮ The topological rationality of linear representations ⋮ Topologically equivalent \(n\)-dimensional isometries

Cites Work

• On the topological classification of linear representations
• A note on the Smith conjecture
• The topological rationality of linear representations
• Torsion et type simple d'homotopie. Exposés faits au Séminaire de Topologie de l'université de Lausanne
• Linear algebra and topology
• Topological classification of linear endomorphisms
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