Lie Theory

Subpages

• Lie Algebra
• Lie Groups

Connections to Other Branches of Mathematics

• analysis (e.g. harmonic analysis and the Peter-Weyl theorem)
• algebraic topology (e.g. principal bundles and characteristic classes)
• algebraic geometry (e.g. algebraic groups and flag varieties)
• combinatorics (e.g. root systems and Coxeter groups)
• differential geometry (e.g. connections and Chern-Weil theory)
• number theory (e.g. automorphic forms and the Langlands program)
• low-dimensional topology (e.g. quantum groups and Chern-Simons theory)
• Riemannian geometry (e.g. holonomy and symmetric spaces)
• finite group theory (e.g. the finite simple groups of Lie type)

Resources

• Mathemaniac - Lecture Series