Lie Groups (MATH-0287)

Fall 2026 · MATH 0287 · Tufts University · 3 credits · Undergraduate

Real and complex Lie groups, relations between Lie groups and Lie algebras, exponential map, the adjoint representation, homogeneous manifolds, semisimplicity, maximal tori, root space decompositions, compact forms, Cartan decompositions, and the classification of simple Lie algebras. Prerequisites: Math 285; or permission of instructor.

Course codes: MATH-0287, MATH 0287, MATH0287, MATH-287, MATH 287, MATH287

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