The Journal of the Indian Mathematical Society

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An Explicit Formula for Cayley-Lipschitz Transformations


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1 Aramaki-aza-aoba 400-A-101, Sendai 980-0845, Japan
     

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An explicit formula is proved for Cayley-Lipschitz transformations, which reinforces the relation known earlier between these transformations and big cells of orthogonal and Clifford groups. In the course of proof, certain quasi-inverses are calculated generically for Jordan pairs of alternating two-tensors.

Keywords

Cayley–Lipschitz Transformations, Orthogonal and Clifford Groups Over Rings, Quasi-Inverses.
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  • An Explicit Formula for Cayley-Lipschitz Transformations

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Authors

Hisatoshi Ikai
Aramaki-aza-aoba 400-A-101, Sendai 980-0845, Japan

Abstract


An explicit formula is proved for Cayley-Lipschitz transformations, which reinforces the relation known earlier between these transformations and big cells of orthogonal and Clifford groups. In the course of proof, certain quasi-inverses are calculated generically for Jordan pairs of alternating two-tensors.

Keywords


Cayley–Lipschitz Transformations, Orthogonal and Clifford Groups Over Rings, Quasi-Inverses.