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ON THE CLASSIFICATION OF FOUR-DIMENSIONAL MÖBIUS TRANSFORMATIONS
| Content Provider | Scilit |
|---|---|
| Author | Cao, Wensheng |
| Copyright Year | 2007 |
| Description | Based on the identification of four-dimensional Möbius transformations $ g(x)=(ax+b)(cx+d)^{-1} $ by the matrix group $\mathrm{PS}_\triangle L(2,\mathbb{H})$ of quaternionic $2\times2$ matrices with Dieudonné determinant equal to $1$, we give an explicit expression for the classification of $g$ in terms of $a$, $b$, $c$ and $d$. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/4A02C5A24406EF59B6E6905FA7E10AA9/S0013091505000398a.pdf/div-class-title-on-the-classification-of-four-dimensional-mobius-transformations-div.pdf |
| Ending Page | 62 |
| Page Count | 14 |
| Starting Page | 49 |
| ISSN | 00130915 |
| e-ISSN | 14643839 |
| DOI | 10.1017/s0013091505000398 |
| Journal | Proceedings of the Edinburgh Mathematical Society |
| Issue Number | 1 |
| Volume Number | 50 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 2007-02-01 |
| Access Restriction | Open |
| Subject Keyword | Proceedings of the Edinburgh Mathematical Society Mathematical Physics dimensional Möbius Transformations |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |