Books on Character theory and category theory

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SUMMARY

This discussion focuses on recommended literature for Character theory and Category theory, emphasizing the need for mathematically rigorous texts. The book "Characters of Finite Groups" by Isaacs is suggested for Character theory, while "Categories for the Working Mathematician" by Mac Lane is recommended for Category theory. The participant expresses a preference for books that provide thorough proofs rather than oversimplified explanations. Additionally, there is a query regarding the prevalence of literature focused on finite groups in searches related to Character theory.

PREREQUISITES
  • Understanding of finite groups and their properties
  • Familiarity with basic concepts in abstract algebra
  • Knowledge of category theory fundamentals
  • Mathematical proof techniques and theorem verification
NEXT STEPS
  • Read "Characters of Finite Groups" by Isaacs
  • Study "Categories for the Working Mathematician" by Mac Lane
  • Explore advanced topics in representation theory
  • Investigate the relationship between characters and Lie groups
USEFUL FOR

Mathematicians, graduate students in mathematics, and anyone interested in deepening their understanding of Character theory and Category theory through rigorous academic literature.

mrandersdk
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As the title says i would like to get recommended some books on Character theory and category theory. I like my books to be really matematically and to not skip corners, but I don't like books that think that I'm a master mind and just write 'clear' or 'easy' instead of proving the theorem.

Anyone got some ideas ?
 
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Characters (of finite groups): Isaacs. (The term characters is very ambiguous.)
Categories: Mac Lane.
 
Are there any reason that most books are on finite groups when i make a search on it?

I don't know much about characters, only seen them in my course on lie groups, but i guess they aren't on finite groups.
 

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