Basic Information
Basic Definitions. Classical Groups. Actions of Algebraic Groups On Varieties. Homogeneous Spaces and Quotients. Assigning a Lie Algebra To an Algebraic Group. Semi Simple Elements, Unipotent Elements And The Jordan Decomposition. Commutative Groups and Diagonalizable Groups. Nilpotent, Unipotent and Solvable Groups. Borel Subgroups And Parabolic Subgroups. Flag Varieties.
Faculty: Mathematics
|Undergraduate Studies
|Graduate Studies
Pre-required courses
104134 - Modern Algebra H or 104158 - Introduction to Group Theory