Course Schedule and Catalog
Course Catalog - 2019-2020
MATH 371 - LIE THEORY
Long Title: LIE THEORY
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Distribution Group: Distribution Group III
Credit Hours: 3
Restrictions:
Must be enrolled in one of the following Level(s):
Undergraduate Professional
Visiting Undergraduate
Undergraduate
Prerequisite(s): MATH 306 OR MATH 356
Description: Study of classical groups as symmentries of Euclidean spaces. Geometry of complex numbers and quaternions, rotations and reflections of Rn, the orthogonal, unitary and sympletic groups. Tangent spaces to matrix groups, Lie algebras and the exponential map. If time permits: the structure of Lie algebras and the matrix logarithm. Recommended Prerequisite(s): MATH 354 or MATH 355 (may be taken the same semester).
Course URL: http://math.rice.edu