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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Spring 2008 • Question 10

Question

Math 6310 • Algebra Spring 2008 • Question 10

Let \(G\) be the group of symmetries of an equilateral triangle. Show that the 2 dimensional representation (as symmetries of the triangle) is irreducible by calculating the character table.

Raw LaTeX

Let \(G\) be the group of symmetries of an equilateral triangle. Show that the 2 dimensional
representation (as symmetries of the triangle) is irreducible by calculating the character table.

Topic Tags

Character Theory Irreducible Polynomials Representation Theory