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Matematicheskie Zametki, 2013, Volume 94, Issue 6, Pages 857–870
DOI: https://doi.org/10.4213/mzm9303 (Mi mzm9303) 		 
This article is cited in 4 scientific papers (total in 4 papers)

An Elementary Proof of the Jordan–Kronecker Theorem

I. K. Kozlov

M. V. Lomonosov Moscow State University
Full-text PDF (504 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm9303
Abstract: This paper presents a proof of the Jordan–Kronecker theorem on the reduction to canonical form of a pair of skew-symmetric bilinear forms on a finite-dimensional linear space over an algebraically closed field.
Keywords: Jordan–Kronecker theorem, skew-symmetric bilinear form, Jordan block, Kronecker block, algebraically closed field, finite-dimensional linear space, self-adjoint operator, symplectic space, Lagrange subspace.
Received: 16.12.2011
Revised: 26.12.2012
English version:
Mathematical Notes, 2013, Volume 94, Issue 6, Pages 885–896
DOI: https://doi.org/10.1134/S0001434613110254
Bibliographic databases:
Document Type: Article
UDC: 512.647.2
Language: Russian
Citation: I. K. Kozlov, “An Elementary Proof of the Jordan–Kronecker Theorem”, Mat. Zametki, 94:6 (2013), 857–870; Math. Notes, 94:6 (2013), 885–896
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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