Department of Mathematics

Van Vleck Hall, 480 Lincoln Drive, Madison, WI

Math 846: Topics in Combinatorics

Paul Terwilliger, Spring 2018:
Introduction to Lie algebras
MWF 1:20--2:10 
DESCRIPTION: This course is an introduction to Lie algebras,
with a focus on semisimple Lie algebras over the complex numbers.
Topics will include: solvable and nilpotent Lie algebras,
Cartan subalgebras, the Cartan decomposition, the Killing form,
the root system, the Weyl group, Dynkin diagrams, Cartan matrices,
the PBW theorem, and Verma modules.

The lectures will be self contained and no prior knowledge of
the subject is assumed. This course should be valuable
to anyone interested in Lie theory, quantum groups,
algebraic combinatorics, number theory, and special functions.

Note: This course is normally called Math 747, but it is too late
to change the course number in the timetable.

Textbook:  Roger Carter: Lie algebras of finite and affine type. Cambridge U. Press, 2005.

A good understanding of undergraduate linear algebra.

UW-Madison Department of Mathematics
Van Vleck Hall
480 Lincoln Drive
Madison, WI  53706

(608) 263-3054

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