Irreducible matrix representations of quaternions

DOI10.1016/j.laa.2024.11.010MaRDI QIDQ6655725

Yu Chen

Publication date: 27 December 2024

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

zbMATH Keywords

quaternionsmatrix representationsimple algebra

Mathematics Subject Classification ID

Finite-dimensional division rings (16K20) Skew fields, division rings (12E15)

Cites Work

• Unnamed Item
• Fundamental representations and algebraic properties of biquaternions or complexified quaternions
• Ueber lineare Substitutionen und bilineare Formen.
• Matrix representation of quaternions
• Matrix representations of the real numbers
• Real matrix representations for the complex quaternions
• Quaternion Algebras
• Identifying the Matrix Ring: Algorithms for Quaternion Algebras and Quadratic Forms
• Automorphisms of the Complex Numbers
• The Classification of Real Division Algebras
• Automorphisms of the Field of Complex Numbers
• Quaternions: Further contributions to a matrix oriented approach
• Matrices over Quaternion Algebras

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