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Irreducible representations

Let G be the subgroup of quaternions of 8 elements, that contains ±1, ±i, ±j, ±k with relations i^2=j^2=k^2= −1, ij=k, jk=i, ki=j, ij=−ji, ik=−ki, jk=−kj.

Classify irreducible representations of G over C.

Solution Summary

This shows how to classify irreducible representations.

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