Group theory and characters table

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Discussion Overview

The discussion revolves around the topic of Group Theory and Characters Table, including inquiries about construction methods and applications within the context of physics.

Discussion Character

  • Exploratory, Technical explanation, Homework-related

Main Points Raised

  • One participant seeks resources and guidance on Group Theory and Characters Table, expressing interest in construction and applications.
  • Another participant highlights the significance of the symmetric group in physics, suggesting it has well-known properties and recommending specific literature for further study.
  • A different participant recommends Tinkham's book for its content, while also suggesting "Symmetry Principles and Magnetic Symmetry in Solid State Physics" by SJ Joshua as a more accessible alternative with exercises and solutions.

Areas of Agreement / Disagreement

Participants provide various recommendations for resources, but there is no consensus on a single approach or method for understanding Group Theory and Characters Table.

Contextual Notes

Participants reference different texts that may vary in difficulty and focus, indicating a range of perspectives on how to approach the subject matter.

Who May Find This Useful

Readers interested in Group Theory, representation theory, and their applications in physics may find the discussion and recommended resources beneficial.

donaresh
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Hello,
where can I find something about Group Theory and Characters Table? How to construct it, what can we do with it, etc...
Thank you!
 
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Donaresh,

From experience, the most important finite group with which you will want to deal with in physics is the symmetric group. Fortunately this group has a lot of exactly known properties and derived results. You could try


Fulton. Young tableau, representation theory and geometry

or this excellent book,

S. Hassani, Mathematical Physics.

Good luck
 
thank you!
 
Tinkham is a very good book but hard to read the first time. Try Symmetry Principles and Magnetic Symmetry in Solid State Physics by SJ Joshua. It is very easy to read, has exercizes that are doable and the bonus is that all the exercises are solved in the back to help you find your way.
 

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