MATH 766

Lie Groups

Graduate

Subgroups and subalgebras, maximal tori, structure theory, representations of compact Lie groups, semi-simple Lie groups and symmetric spaces, Lie algebra cohomology, Clifford algebras and …

Winter 2026 · C01

Readings

Representations Of Compact Lie Groups
T. Brocker And T. Tom Dieck · Required
ISBN 9783642057250

Winter 2026 · C01

Subgroups and subalgebras, maximal tori, structure theory, representations of compact Lie groups, semi-simple Lie groups and symmetric spaces, Lie algebra cohomology, Clifford algebras and …

Readings

Representations of Compact Lie Groups
T. Broecker & T. tom Dieck · 1985 · latest · Required
Srpinger-Verlag · ISBN 978-3-642-05725-0
Lie Groups
J.J. Duistermaat & J. A. C. Kolk · 1999 or later · Recommended / optional
Springer-Verlag · ISBN 3-540-15293-8
The Theory of Groups and Quantum Mechanics
Hermann Weyl · 1950 · Recommended / optional
Dover · ISBN 0-486-60269-9
Notes on Lie Algebras
Hans Samelson · 1990 · latest · Recommended / optional
Universitext, Springer-Verlag · ISBN 0-387-97264-1; 3-540-97264-1
Representation Theory
W. Fulton and J. Harris · 1991 · Recommended / optional
Springer-Verlag · ISBN 0-387-97495-4; 3-540-97495-4

Sources