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Transitions: contractions and analytical continuations of the Cayley–Klein groups (1990)
| Content Provider | CiteSeerX |
|---|---|
| Author | Gromov, N. A. |
| Abstract | As a foundation for Klein’s fundamental idea about the connection of geometry and its motion group and the unified description of all Cayley-Klein geometries, a method of group transitions including contractions as well as analytical continu-ations of the groups is developed. The generators and Casimir operators of an arbitrary Cayley-Klein group are obtained from those of the classical orthogonal group. The classification of all possible transitions between the Cayley-Klein groups is given. The physically important case of the kinematic groups is discussed. 1 |
| File Format | |
| Journal | Int.J.Theor.Phys |
| Language | English |
| Publisher Date | 1990-01-01 |
| Access Restriction | Open |
| Subject Keyword | Cayley Klein Group Analytical Continuation Kinematic Group Cayley-klein Group Group Transition Unified Description Possible Transition Casimir Operator Klein Fundamental Idea Analytical Continu-ations Classical Orthogonal Group Arbitrary Cayley-klein Group Important Case Cayley-klein Geometry Motion Group |
| Content Type | Text |
| Resource Type | Article |
