\(2\times 2\) matrix representation forms and inner relationships of split quaternions

DOI10.1007/s00006-019-0951-6zbMath1414.15015OpenAlexW2919855099MaRDI QIDQ2422688

Jin-Kou Ding, Qiu-Ying Ni, Ying-Nan Jiao, Xue-Han Cheng

Publication date: 20 June 2019

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-019-0951-6

zbMATH Keywords

split quaternionsHamilton quaternions

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66) Canonical forms, reductions, classification (15A21)

Related Items (3)

The Moore-Penrose inverse and singular value decomposition of split quaternions ⋮ Dynamics of the coquaternionic maps \(x^2 + \mathsf{b}x\) ⋮ Elementary transformation and its applications for split quaternion matrices

Cites Work

• Split quaternions and semi-Euclidean projective spaces
• Algebraic methods for least squares problem in split quaternionic mechanics
• The roots of a split quaternion
• On the roots of coquaternions
• On exponential of split quaternionic matrices
• Intrinsic transfer matrix method and split quaternion formalism for multilayer media
• Split-quaternions and the Dirac equation
• On eigenvalues of split quaternion matrices
• On complexified mechanics and coquaternions
• SPLIT QUATERNIONS AND ROTATIONS IN SEMI EUCLIDEAN SPACE E⁴₂

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