Group-Like Structure Underlying the Unit Ball in Real Inner Product Spaces |
| |
Authors: | Abraham A Ungar |
| |
Institution: | 1. Department of Mathematics, North Dakota State University, Fargo, North Dakota, 58105, USA
|
| |
Abstract: | Abstraction of the relativistic velocity addition law and of the Thomas rotation of the special theory of relativity yields a means of endowing the unit ball in any real inner product space with a group- like structure, in which the standard associative- commutative laws are relaxed by means of the Thomas rotation. The resulting group- like object is called a complete weakly associative- commutative groupoid. Any complete WACG can be extended to a group analogous to the Lorentz group of the special theory of relativity. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|