A determinantal identity for skewfields

DOI10.1016/0024-3795(85)90248-4zbMath0582.15001OpenAlexW2048545769MaRDI QIDQ1068906

David W. Lewis

Publication date: 1985

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(85)90248-4

zbMATH Keywords

quaternionsdeterminantal identityreduced normsDieudonné determinantskewfield

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Skew fields, division rings (12E15) Division rings and semisimple Artin rings (16Kxx)

Related Items (4)

Quaternionic determinants ⋮ Sur la norme réduite du déterminant de Dieudonné des matrices quaternioniennes. (On the reduced norm of the Dieudonné determinant of quaternion matrices) ⋮ The quaternion-Pell sequence ⋮ The reverse order law for the generalized inverse \(A^{(2)}_{T,S}\) over a skew field

Cites Work

• Les déterminants sur un corps non commutatif
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