MATH8271

MATH 8271 - Lie Groups and Lie Algebras (3 Cr.)

School of Mathematics (11133) TIOT - College of Science and Engineering

MATH 8271 - Lie Groups and Lie Algebras (3 Cr.)

Course description

Definitions and basic properties of Lie groups and Lie algebras; classical matrix Lie groups; Lie subgroups and their corresponding Lie subalgebras; covering groups; Maurer-Cartan forms; exponential map; correspondence between Lie algebras and simply connected Lie groups; Baker-Campbell-Hausdorff formula; homogeneous spaces.

prereq: 8302 or instr consent

Minimum credits

3

Maximum credits

3

Is this course repeatable?

Yes

What is the maximum number of completions allowed?

2

What is the maximum number of credits that can be earned from this course?

3

Grading basis

AFV - A-F or Audit

Lecture

Typically offered term(s)

Periodic Fall