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Syllabus for 640:551 Fall 2017
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The following sections in Brundan and Kleshchev:

 2.1- 2.5: Categories, functors, natural transformations.

 3.1- 3.6: Universal constructions (3.5 can be skipped as long as you
           know what a free object is).

 4.1- 4.4: Multilinear algebra.

 6.1- 6.8: Group theory (6.5 and 6.6 contain lots of important
           examples that you are encouraged to know, but the exam will
           not require that you know these examples.)

 7.1- 7.6: Group actions (except 7.4, and 7.2 has same status as 6.5
           and 6.6).

 8.1- 8.2: Solvable and nilpotent groups.

10.1-10.2: Basics on commutative rings.

11.1-11.2: First steps in fields.

12.1-12.6: Galois theory (12.6 has same status as 6.5, 6.6, 7.2).

16.1-16.2: General theory of modules (only assigned problems and
           results covered in class, class notes will be posted).

17.1-17.2: Modules over PIDs (only assigned problems and results
           covered in class, class notes will be posted).

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