On Lipschitz' Lifting of the Cayley Transform

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Authors

  • Mathematical Institute, Tohoku University, Sendai 980-8578 ,JP

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.

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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 https://www.informaticsjournals.com/index.php/jims/article/view/21811