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MAT 4144

Introduction to Lie Groups

3 units

Winter 2015

Topics

  • Rotations, complex numbers and quaternions
  • Matrix Lie groups and homomorphisms
  • Connectedness, compactness and maximal tori
  • Exponential maps and Lie algebras
  • Lie correspondence and coverings
  • Manifolds and homogeneous spaces

Readings

  • Naive Lie Theory
    John Stillwell · Springer, 2008 · Course text
  • Lie Groups, Lie Algebras, and Representations
    Brian C. Hall · Springer, 2003 · Course text
  • MAT4144-5158-LieGroups ↗
    Lecture notes / supplementary course reference
Sources