Simple Germs of Skew-Symmetric Matrix Families with Oddness or Evenness Properties

Simple Germs of Skew-Symmetric Matrix Families with Oddness or Evenness Properties

We consider families of skew-symmetric matrices depending analytically on parameters. We obtain necessary existence conditions and find normal forms for such families. The results obtained are generalized to the case of families possessing the evenness or oddness property in the totality of variable...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2023-03, Vol.270 (5), p.625-639
Hauptverfasser: Abdrakhmanova, N. T., Astashov, E. A.
Format: Artikel
Sprache:eng
Schlagworte:
Canonical forms
Mathematical analysis
Mathematics
Mathematics and Statistics
Matrices (mathematics)
Microorganisms
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Zusammenfassung:We consider families of skew-symmetric matrices depending analytically on parameters. We obtain necessary existence conditions and find normal forms for such families. The results obtained are generalized to the case of families possessing the evenness or oddness property in the totality of variables.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-023-06375-4