Beiträge zur Algebra und GeometrieContributions to Algebra and Geometry
Vol. 44, No. 1, pp. 245-262 (2003)
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Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 44, No. 1, pp. 245-262 (2003) |
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Hopf Mappings for Complex QuaternionsJohannes WallnerInstitut für Geometrie, Technische Universität Wien, Wiedner Hauptstr.\ 8--10/113, A-1040 Wien, e-mail: wallner@geometrie.tuwien.ac.atAbstract: The natural mapping of the right quaternion vector space $\H^2$ onto the quaternion projective line (identified with the four-sphere) can be defined for complex quaternions $\H\otimes_\R\C$ as well. We discuss its exceptional set, the fiber subspaces, and how the linear automorphism groups of two-dimensional quaternion vector spaces and modules induce groups of projective automorphisms of the image quadrics. Full text of the article:
Electronic version published on: 3 Apr 2003. This page was last modified: 4 May 2006.
© 2003 Heldermann Verlag
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