A note on quaternion algebra and finite rotations
β Scribed by F. Russo Spena
- Book ID
- 112904330
- Publisher
- Springer-Verlag,Italian Physical Society
- Year
- 1993
- Weight
- 415 KB
- Volume
- 108
- Category
- Article
- ISSN
- 0369-3554
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract This communication compiles propositions concerning the spherical geometry of rotations when represented by unit quaternions. The propositions are thought to establish a twoβway correspondence between geometrical objects in the space of real unit quaternions representing rotations and g
A denotes an artin algebra in the sense of Auslander, i.e., an associative algebra of finite length over a commutative artinian ring Z. We assume in addition that Z is local and that its residue field k is algebraically closed, whence infinite. As a partial answer to a w x question raised by Ausland