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Canonical form of the matrix of a bilinear form over an algebraically closed field of characteristic 2

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Publication:1097333
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DOI10.1007/BF01158384zbMath0635.15026MaRDI QIDQ1097333

V. V. Sergejchuk

Publication date: 1987

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


zbMATH Keywords

eigenvaluebilinear formbasisalgebraically closed field of characteristic 2nonsingular Jordan matrix


Mathematics Subject Classification ID

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


Related Items (3)

Equivalence and normal forms of bilinear forms ⋮ Canonical matrices of bilinear and sesquilinear forms ⋮ Tridiagonal canonical matrices of bilinear or sesquilinear forms and of pairs of symmetric, skew-symmetric, or Hermitian forms



Cites Work

  • Zur Klassifikation von Bilinearformen und von Isometrien über Körpern
  • Appendix: Degenerate bilinear forms
  • The equivalence of bilinear forms
  • On the stability of the equilibrium positions for discontinuous systems


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