MATH 534 Lie Theory I (Lie Algebras and their representations)
Text:
The course will be mostly based on
J. Humphreys "Lie algebras and representation theory".
However, we will occasionally refer to several other sources, including:
Classes: Tue, Th 11am12:30pm in MATX1102.
My office: Math 217.
email: gor at math dot ubc dot ca
Office Hours: By
appointment.

Syllabus and course outline
(This document is consistent with the university policies and contains all
the course information regarding marking, etc.)
Announcements
HOMEWORK
There will be approximately biweekly written homework assignments in
addition to
the
list of problems for inclass discussion.
Final presentations:
The last two weeks of class will be your
lectures.
Possible topics and resources will soon be posted here.
Detailed Course outline
Short descriptions of each lecture and relevant additional references will be posted here as we progress.
 Tuesday September 3 :
NO CLASS  Imagine day and qualifying exams.
Graduate Orientation at 4:30pm.
 Thursday September 5 and Tuesday
Sep.10. :
Lectures 12:
Lie algebras: motivation; overview; the basic definitions (including
ideals,
homomorphisms, centre, radical, ...) The notions of nilpotent, solvable,
simple and semisimple; examples (the classical Lie algebras); the
2dimensional Lie algebras; adjoint representation; proof that sl(2) is
simple. References: H: 1.1, 1.2, 2.1, 3.1, 3.2; 1.4, 2.2. FH: 9.1, some of
10.1
 Thursday Sep. 12 :
Lecture 3: The radical. Nilpotent and solvable Lie algebras. Engel's
Theorem.