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This is a reference request.

Do you know where I can find the dimensions of the faithful projective representations of $S_n$ and $A_n$ for $n\ge 5$?

Thank you in advance.

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    $\begingroup$ Faithful is not really important, since non-faithful rep factors through the group on 2 elements, which is not that hard to tackle. $\endgroup$ – YCor Oct 29 '15 at 17:13
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Maybe it's worth adding a reference to a modern treatment of Schur's work in book form, which might be easier to read than the original paper of Schur (note that I'm unrelated to the authors):

P.N. Hoffman and J.F. Humphreys, Projective representations of the symmetric groups. Q-functions and shifted tableaux. Oxford Mathematical Monographs. Oxford Science Publications. The Clarendon Press, Oxford University Press, New York, 1992.

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See Schur's original paper

Schur, I. (1911), Über die Darstellung der symmetrischen und der alternierenden Gruppe durch gebrochene lineare Substitutionen, Crelle's Journal 139: 155–250. (EuDML)

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