Representation theory studies finite groups by turning their abstract symmetries into matrices, so that questions about group structure become linear algebra you can actually compute with. You'll spend the term building character tables by hand, proving orthogonality relations, and pushing those tools far enough to derive deep structural results like Burnside's solubility theorem and Frobenius' normal complement theorem. It assumes you're comfortable with group theory and rings from the algebra sequence, and it's the natural gateway into modular representation theory, algebraic number theory, and most of the algebra you'd meet in graduate school.
→ STARS müfredatı (resmi syllabus)
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Competence in some routine methods