An Explicit Formula for Cayley-Lipschitz Transformations


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.

Subject Discipline

Mathematical Sciences

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References

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