Timeline for Sym(V ⊕ ∧² V) isomorphic to direct sum of all Schur functors of V
Current License: CC BY-SA 2.5
7 events
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Nov 12, 2010 at 21:26 | comment | added | Tom Church | You can find a character-free proof of the branching rule for $S_n$, also known as the reduction rule, in Theorem 2.8.3 (p. 77) of Sagan, "The Symmetric Group", GTM 203. | |
| Nov 12, 2010 at 14:13 | history | edited | Bruce Westbury | CC BY-SA 2.5 |
Reference added
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| Nov 6, 2010 at 23:07 | comment | added | darij grinberg | Proving Pieri without characters is more or less equivalent to proving the reduction rule for representations of $S_n$ without characters. This is in some literature, I think, although I have never read such a proof. | |
| Nov 6, 2010 at 23:06 | comment | added | darij grinberg | With $\mathrm{Sym}^2\left(V\right)$ I meant $\mathrm{Sym}\left(\wedge^2 V\right)$... | |
| Nov 6, 2010 at 15:18 | comment | added | darij grinberg | Cool! Remains to get a character-free grip on the $\mathrm{Sym}^2\left(V\right)$ isomorphism and on Pieri's rule (again, both I can only prove using characters...). | |
| Nov 6, 2010 at 14:39 | history | answered | Bruce Westbury | CC BY-SA 2.5 |