Department of Mathematics

INDIAN INSTITUTE OF SCIENCE

MA 385: Classical Groups

Credits: 3:0

Prerequisite courses: MA 220

This course will focus on the structure as well as on finite dimensional complex representations of the following classical groups: General and special Linear groups, Symplectic groups, Orthogonal and Unitary groups.

Suggested books and references:

1. L. C. Grove, Classical Groups and Geometric Algebra, Graduate Studies in Mathematics 39, American Mathematical Society, 2002.
2. A. Artin, Geometric Algebra, John Wiley & sons, 1988.
3. Herman Weyl, The Classical Groups, Princeton University Press, Princeton, 1946.
4. J. A. Green, The characters of the finite general linear groups, Trans. Amer. Math. Soc. 80 (1955), 402-447.

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