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I'm fairly new to this, so sorry if I'm missing something obvious. I know that the number of equivalence classes of irreducible representations is the same as the number of conjugacy classes/partitions, I understand how conjugacy classes are associated with partitions. It seems if there were a correspondence between irreps and conjugacy classes, it would be something just as "commonly known" and easy to find in various notes on topic. Yet I'm struggling to find anything more specific about the nature of this correspondence. So is there an explicit bijection between them or not?

Also, in case there is, do you happen to know anything about its generalization for irreducible complex reflection groups?

Thehanna
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    There are many books which address your question such as "linear representations of finite groups" by Jean Pierre Serre, or "Groups and Symmetries" by Yvette Kosmann-Schwarzbach. – anton Apr 11 '25 at 17:50
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    https://en.wikipedia.org/wiki/Young_tableau – Steve D Apr 11 '25 at 23:16

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