TL;DR
This paper provides an overview of fundamental concepts in group theory, including Lie groups, Lie algebras, unitary groups, their representations, tensor methods, and applications to relativistic invariance and the Lorentz group.
Contribution
It systematically summarizes key elements of group theory relevant to physics, emphasizing the structure and representations of Lie and unitary groups.
Findings
Detailed description of Lie groups and Lie algebras
Representation theory of SU(n) groups and their algebras
Application of group theory to relativistic invariance and Lorentz group
Abstract
\noindent 1. Generalities\hfil\break 2. Lie groups and Lie algebras\hfil\break 3. The unitary groups\hfil\break 4. Representations of the SU(n) groups (and of their algebras)\hfil\break 5. The tensor method for unitary groups, and\hb the permutation group\hfil\break 6. Relativistic invariance. The Lorentz group\hfil\break 7. General representation of relativistic states
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Taxonomy
TopicsQuantum and Classical Electrodynamics · Relativity and Gravitational Theory · Scientific Research and Discoveries