2009 Fall MATH 253-01
Bulletin Course Description Representation theory of finite groups, Lie algebras and Lie groups, roots, weights, Dynkin diagrams, classification of semisimple Lie algebras and their representations, exceptional groups, examples and applications to geometry and mathematical physics. Instructor: Staff
(Instructor named in bulletin description above may not be current. For current instructor, see listing below.)
Title REPRESENTATION THEORY Department MATH Course Number 2009 Fall 253 Section Number 01 Primary Instructor Saper,Leslie D Prerequisites Prerequisite: Mathematics 200 or equivalent. Course Homepage www.math.duke.edu/~saper/Instruction/math253.F09
Synopsis of course content
Representation Theory. Representation theory of finite groups, Lie algebras and Lie groups. Roots, weights, Dynkin diagrams, classification of Lie algebras together with many examples and applications in geometry and mathematical physics of both the classical and exceptional groups.
Textbooks
Most likely W. Fulton and J. Harris, "Representation Theory", Springer however we may not follow it strictly. There will be other references as well.
Assignments
weekly problem sets
Exams
take-home final exam
Grade to be based on
problem sets and exam
