Subjects / Representation theory

Best books to learn Representation theory, in order

Representation theory turns abstract groups into matrices, where they can be computed with, and it is one of the few subjects that genuinely unifies algebra, geometry, number theory and physics.

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Reading paths for representation theory

Best Books to Learn Representation Theory, in Order

Beginner14books106 hrs5 stages
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Popular representation theory books

AlgebraMichael Artin · 2009
Lie Groups, Lie Algebras, and RepresentationsBrian C. Hall · 2003
Naive lie theoryJohn C. Stillwell · 2008
Symmetry, representations, and invariantsRoe Goodman · 2009
Introduction to Lie algebras and representation theoryJames E. Humphreys · 1972
Representation theoryFulton, William · 1991

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Frequently asked questions

How should I approach learning representation theory?
Representation theory turns abstract groups into matrices, where they can be computed with, and it is one of the few subjects that genuinely unifies algebra, geometry, number theory and physics.
What's a good book to start representation theory with?
A strong starting point is Algebra by Michael Artin. The ordered reading paths above show exactly where it fits and what to read next.

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