Timeline for Does Schur's Lemma hold in this case? Regular representations of $S_n$ over $\mathbb R$
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Oct 22, 2014 at 21:29 | comment | added | Derek Holt | @MarianoSuárez-Alvarez I think the answer to your question is no, but that is because there is a very nice way of describing the irreducible complex reptns of $S_n$ in terms of Young diagrams, and it is a by-product of this theory that yields the result that they can all be written over the integers. | |
Oct 22, 2014 at 17:19 | comment | added | Mariano Suárez-Álvarez | Is there a way to prove absolute irreducibility without having to find all irreps? | |
Oct 22, 2014 at 12:29 | vote | accept | vishmay | ||
Oct 22, 2014 at 11:33 | history | answered | David Hill | CC BY-SA 3.0 |