Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

An Explicit Formula for Cayley-Lipschitz Transformations


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

   Subscribe/Renew Journal


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.
Subscription Login to verify subscription
User
Notifications
Font Size


Abstract Views: 287

PDF Views: 0




  • An Explicit Formula for Cayley-Lipschitz Transformations

Abstract Views: 287  |  PDF Views: 0

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.