The hyperbolic spinor representation of transformations in \(\mathbb {R}_1^3\) by means of split quaternions

DOI10.1007/s00006-018-0844-0zbMath1419.15020OpenAlexW2792747031MaRDI QIDQ1644473

Murat Tosun, Mustafa Tarakçioğlu, Mehmet Ali Güngör, Tülay Erişir

Publication date: 21 June 2018

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

Full work available at URL: https://doi.org/10.1007/s00006-018-0844-0

zbMATH Keywords

Lie groupssplit quaternionshyperbolic spinors

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Clifford algebras, spinors (15A66) Analytic geometry with other transformation groups (51N25)

Related Items (1)

The Moore-Penrose inverse and singular value decomposition of split quaternions

Cites Work

• Geometry of the hyperbolic spinors corresponding to alternative frame
• An efficient method for solving equations in generalized quaternion and octonion algebras
• Spinor Bishop equations of curves in Euclidean 3-space
• Development of spinor descriptions of rotational mechanics from Euler's rigid body displacement theorem
• A construction of hyperbolic spinors according to frenet frame in Minkowski space
• Spinor Darboux Equations of Curves in Euclidean 3-Space
• SPLIT QUATERNIONS AND ROTATIONS IN SEMI EUCLIDEAN SPACE E⁴₂
• Computational line geometry
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