| Autor: |
Dabkowski, Mieczyslaw K., Herzig, Emily, Ramakrishna, Viswanath |
| Jazyk: |
angličtina |
| Rok vydání: |
2016 |
| Zdroj: |
J. Geom. Symmetry Phys. 42 (2016), 15-51 |
| Popis: |
This work provides an algorithmic procedure for finding the pair of elements in the spin group which map to a given matrix in the special orthogonal group of order five or six. This is achieved by first solving the problem when the special orthogonal matrix is a Givens rotation, and then exploiting the fact that the covering maps are group homomorphisms and that any special orthogonal matrix can be explicitly decomposed into a product of Givens rotations. For this purpose systems of quadratic equations in several variables have to be solved symbolically. The resulting solution display a transparent dependency on the entries of the Givens matrices. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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