Algebraic Construction of the Basis for the Irreducible Representations of Rotation Groups and for the Homogeneous Lorentz Group
✍ Scribed by Alcarás, J. A. Castilho; Ferreira, P. Leal
- Book ID
- 121018584
- Publisher
- American Institute of Physics
- Year
- 1965
- Tongue
- English
- Weight
- 703 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0022-2488
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📜 SIMILAR VOLUMES
With the help of a new representation of the Lorentz group in terms of complex relativistic Euler angles we determine a specific set of finite-dimensional vector spaces irreducible under Lorentz transfol•mations. If we further associate every elementary particle family with such a space we obtain a
Here is a detailed, self-contained work on the rotation and Lorentz groups and their representations. Treatment of the structure of the groups is elaborate and includes many new results only recently published in journals. The chapter on linear vector spaces is exhaustive yet clear, and the book hig
## Abstract It is shown how the irreducible representations of a finite group can be calculated from the irreducible characters (the latter can be calculated exactly by using Dixon's method). All elements of the matrix, representing a group element, lie in the rational field of polynomials of ξ = e