On Lipschitz' Lifting of the Cayley Transform
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Abstract
Cayley's rational parameterization of orthogonal groups (Cayley transform) and its lifting to coverings discovered by Lipschitz are generalized. They acquire validity with functorial behavior for all regular and semirefular quadratic modules over any commutative base ring. Exterior algebras and their exponential maps play fundamental role.Downloads
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Published
2005-12-01
How to Cite
Ikai, H. (2005). On Lipschitz’ Lifting of the Cayley Transform. The Journal of the Indian Mathematical Society, 72(1-4), 1–12. Retrieved from http://informaticsjournals.com/index.php/jims/article/view/21811
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Copyright (c) 2005 Hisatoshi Ikai
This work is licensed under a Creative Commons Attribution 4.0 International License.