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Aug 15, 2012 at 9:36 comment added Hauke Reddmann THX! So it's even in the Wiki? :-) In any case, since by accident I found LiE (www-math.univ-poitiers.fr/~maavl/LiE/form.html) I never have to annoy MO with nagging questions for practical details of Clebsch-Gordan series again. Or so I hope :-)
Aug 15, 2012 at 9:29 vote accept Hauke Reddmann
Aug 14, 2012 at 13:29 comment added Benjamin Steinberg Burnside did it over C and R. Steinberg (no relation to me) did it for semigroups over any field. Rieffel extended it to bialgebras.
Aug 14, 2012 at 12:34 comment added Frieder Ladisch Or, to put it another way: an irrep $U$ occurs in some tensor power of $V$ if and only if $\ker(V) \leq \ker(U)$. In Isaacs' character theory book, this theorem is attributed to "Burnside-Brauer", by the way.
Aug 14, 2012 at 12:02 comment added Alexander Chervov en.wikipedia.org/wiki/Faithful_representation
Aug 14, 2012 at 11:54 history answered Benjamin Steinberg CC BY-SA 3.0