Unitary representations of Lie groups
SNSB
Master
course
October 2011 - January 2012
Instructor:
Daniel Beltita
Class schedule and location:
Thursday 16:30-20:00, Room 412 (IMAR)
Grading policy:
Participation in exercise classes: 40%
Extra credit problems in the final exam: 40%
Supplementary reading on general topology:
J.L. Kelley,
General topology.
Reprint of the 1955 edition [Van Nostrand, Toronto, Ont.]. Graduate Texts
in Mathematics, No. 27. Springer-Verlag, New York-Berlin, 1975.
Supplementary reading on Hilbert spaces:
E. Nelson,
Topics in dynamics. I: Flows.
Mathematical Notes. Princeton University Press, Princeton, N.J.;
University of Tokyo Press, Tokyo, 1969.
Supplementary reading on integration:
Supplementary reading on Lie groups, Lie algebras,
and unitary representations:
-
F.W. Warner,
Foundations of differentiable manifolds and Lie
groups.
Corrected reprint of the 1971 edition. Graduate Texts in Mathematics, 94.
Springer-Verlag, New York-Berlin, 1983.
-
S. Helgason,
Differential geometry, Lie groups, and symmetric
spaces. Corrected reprint of the 1978 original. Graduate Studies in
Mathematics, 34. American Mathematical Society, Providence, RI, 2001.
-
A.W. Knapp,
Lie groups beyond an introduction.
Second edition.
Progress in Mathematics, 140. Birkhäuser Boston, Inc., Boston, MA,
2002.
-
L.J. Corwin, F.P. Greenleaf,
Representations of nilpotent Lie groups and their applications.
Part I. Basic theory and examples.
Cambridge Studies in Advanced Mathematics, 18. Cambridge University
Press, Cambridge, 1990.
-
J. Dixmier,
Algèbres enveloppantes.
Cahiers Scientifiques, Fasc. XXXVII. Gauthier-Villars Éditeur,
Paris-Brussels-Montreal, Que., 1974.
More exercises on Lie groups and Lie algebras:
-
A. Baker,
Matrix groups. An introduction to Lie group theory.
Springer Undergraduate Mathematics Series. Springer-Verlag London, Ltd.,
London, 2002.
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