Reductive Algebraic Groups

A reductive group is a type of linear algebraic group over a field. One example of a reductive group is the general linear group GL(n) of invertible matrices.

The course covers:

  • Classification of reductive groups over algebraically closed fields using root data.
  • Geometric construction of representations by the Borel-weil theorem.

The course consists of one module.


Teaching Format

Instruction consists of lectures and exercises.


Assessment

The course is assessed through written assignments.

Examiner

The schedule will be available no later than one month before the start of the course. We do not recommend print-outs as changes can occur. At the start of the course, your department will advise where you can find your schedule during the course.


Note that the course literature can be changed up to two months before the start of the course.
Course reports are displayed for the three most recent course instances.

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Course web

You can find our course webpages on kurser.math.su.se.