| Autor: |
Lounesto, Pertti, Latvamaa, Esko |
| Zdroj: |
Proceedings of the American Mathematical Society; 1980, Vol. 79 Issue: 4 p533-538, 6p |
| Abstrakt: |
A spinor representation for the conformal group of the real orthogonal space $ {R^{p,q}}$ is compactified by adjoining a (closed) isotropic cone at infinity. Then the nonlinear conformal transformations are linearized by regarding the conformal group as a factor group of a larger orthogonal group. Finally, the spin covering group of this larger orthogonal group is realized in the Clifford algebra $ {R_{1 + p,q}}$ on the orthogonal space  . Explicit formulas for orthogonal transformations, translations, dilatations and special conformal transformations are given in Clifford language. |
| Databáze: |
Supplemental Index |
| Externí odkaz: |
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