Given any arbitrary representation, how do I convert it into block diagonal form, or find its irreducible representation?
What is the systematic way to convert any arbitrary finite dimensional representation into block diagonal form?
3
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group-theory
representation-theory
lie-algebras
1 Answers
1
If you happen to know the characters of the irreducibe representations, a standard way is to couple them against the character of the given representations under the canonical pairing.