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Course: |
MTH G364 Topics in Representation Theory |
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Instructor: |
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Time and Place: |
Mon-Wed |
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Textbook: |
W. Fulton, J. Harris. Representation Theory. A first course (Grad. Texts in Math. 129), Springer-Verlag, 1991 |
The theory of group representations is one of the cornerstones of modern mathematics.
It provides mathematical tools to treat the symmetries, and as such, has a very
wide range of applications to other
mathematical disciplines, and other sciences (physics, chemistry, economics,
etc.). The course discusses basic
properties of group representations. The
required background is some basic algebra (main concepts in linear algebra and
the theory of groups, rings and modules) and analysis. No knowledge of
representation theory is assumed; the course will provide an introduction
to its basic concepts and techniques. An emphasis will be made on
detailed study of specific examples such as the symmetric groups, general
linear and other classical groups. The course grade will be determined
according to homework assignments.
It might be possible to replace part of the assignments by a research
project.
Northeastern University
Boston, MA, 02115
Office: 431 LA
Phone: (617) 373-5648
Email: andrei@neu.edu
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Created: September 5, 2003. Last modified: