An elementary proof of the Jordan-Kronecker theorem

DOI10.1134/S0001434613110254zbMath1288.15028OpenAlexW1992062809MaRDI QIDQ2439997

I. K. Kozlov

Publication date: 26 March 2014

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434613110254

zbMATH Keywords

self-adjoint operatoralgebraically closed fieldsymplectic spaceJordan blockLagrange subspacefinite-dimensional linear spaceJordan-Kronecker theoremKronecker blockskew-symmetric bilinear form

Mathematics Subject Classification ID

Quadratic and bilinear forms, inner products (15A63) Canonical forms, reductions, classification (15A21)

Related Items

Invariant foliations of nondegenerate bi-Hamiltonian structures ⋮ Reduction of a pair of skew-symmetric matrices to its canonical form under congruence ⋮ A canonical basis of a pair of compatible Poisson brackets on a matrix algebra ⋮ Unnamed Item ⋮ Singularities of bi-Hamiltonian systems

Cites Work

• Unnamed Item
• Bi-Hamiltonian structures and singularities of integrable systems
• Pencils of complex and real symmetric and skew matrices
• Simultaneous local classification of two compatible symplectic forms