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Introduction to Representation Theory

Undergraduate · Historical course

Fall 2010

The goal of this course is to give an undergraduate-level introduction to representation theory (of groups, Lie algebras, and associative algebras). Representation theory is an area of mathematics which, roughly speaking, studies symmetry in linear spaces.

Readings

  • WEEK #: 1 · READINGS: Section 1.1-1.5
    Reading assignment
  • WEEK #: 2 · READINGS: Section 1.6-1.13
    Reading assignment
  • WEEK #: 3 · READINGS: Section 1.14-2.8
    Reading assignment
  • WEEK #: 4 · READINGS: Section 2.9-3.5
    Reading assignment
  • WEEK #: 5 · READINGS: Section 3.6-4.1
    Reading assignment
  • WEEK #: 6 · READINGS: Section 4.2-4.9
    Reading assignment
  • WEEK #: 7 · READINGS: Section 4.10-4.19
    Reading assignment
  • WEEK #: 8 · READINGS: Section 4.20-4.24
    Reading assignment
  • WEEK #: 9 · READINGS: Section 4.25-5.2
    Reading assignment
  • WEEK #: 10 · READINGS: Section 5.3-5.5
    Reading assignment
  • WEEK #: 11 · READINGS: Section 5.6-5.9
    Reading assignment
  • WEEK #: 12 · READINGS: Chapter 6
    Reading assignment
  • Fulton, William, and Joe Harris. Representation Theory: A First Course . Graduate texts in mathematics. Vol. 129. New York, NY: Springer, 1991. ISBN: 9780387974958.
    Listed reading
  • Serre, Jean Pierre. Linear Representations of Finite Groups . Graduate texts in mathematics. Vol. 42. New York, NY: Springer-Verlag, 1977. ISBN: 9780387901909.
    Listed reading
Sources