Timeline for A basis for Schur functors
Current License: CC BY-SA 3.0
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| Feb 5, 2013 at 3:26 | comment | added | Y Macdisi | The Young symmetrizers are just a starting point. They are used to construct special elements in the group algebra of $S_n$. There are still several steps after that to get a basis for the invariant suspaces of $V^{\otimes n}$. The calculations are not for the faint of heart...a lot of manipulations with Young tableaux. I'll try to dig up more reference later. | |
| Feb 4, 2013 at 23:40 | comment | added | Dmitry Vaintrob | Thanks. Could you say how Young symmetrizers give a basis? As far as I understand them, they project $V^{\otimes n}$ to the Schur functor, but they certainly don't project basis vectors to linearly independent elements. Is there some dual way of looking at them that fixes this problem? | |
| Feb 4, 2013 at 21:50 | history | answered | Y Macdisi | CC BY-SA 3.0 |