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advanced_tools:group_theory:representation_theory
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Representation Theory
Why is it interesting?
In physics, we are usually interested in what a group actually does. A group is an abstract object, but representation theory allows us to derive how a group actually acts on a system.
In addition, representation theory is what allows us to understand elementary particles. For example, by using the tools of representation theory to analyze the Lorentz group (=the fundamental spacetime symmetry group), we learn what kind of elementary particles can exist in nature. Moreover, representation theory is crucial to understand what spin is, which is one of the most important quantum numbers.
Layman
Explanations in this section should contain no formulas, but instead colloquial things like you would hear them during a coffee break or at a cocktail party.
Student
In this section things should be explained by analogy and with pictures and, if necessary, some formulas.
Researcher
The motto in this section is: the higher the level of abstraction, the better.
Examples
- Example1
- Example2:
FAQ
History
advanced_tools/group_theory/representation_theory.1513510428.txt.gz · Last modified: 2017/12/17 11:33 (external edit)
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