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