Timeline for Cauchy identity in three sets of variables?
Current License: CC BY-SA 3.0
8 events
when toggle format | what | by | license | comment | |
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May 10, 2017 at 19:04 | comment | added | Mark Wildon | On the plus side, if you find a way to prove this identity by an RSK-type correspondence, you'll have solved one of the main open problems in the character theory of the symmetric group. | |
May 9, 2017 at 21:11 | vote | accept | andrewBee | ||
May 9, 2017 at 21:11 | comment | added | andrewBee | Blerg, thanks everyone! I had looked at the exercises in EC2, but only the ones surrounding RSK stuffs. The answer is much worse than I hoped! | |
May 9, 2017 at 20:31 | history | edited | Mark Wildon | CC BY-SA 3.0 |
Dimension bound is needed to get a non-zero representation in second paragraph (not first)
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May 9, 2017 at 20:31 | comment | added | Per Alexandersson | These coefficients are also known to be hard to compute, in the sense of #P-complete (up to conventions). The family of Kronecker coefficients contain the Littlewood-Richardson coefficients, which, in turn, contains the (skew) Koskta numbers. | |
May 9, 2017 at 20:04 | history | edited | Mark Wildon | CC BY-SA 3.0 |
[Edit removed during grace period]
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May 9, 2017 at 19:57 | comment | added | Sam Hopkins | For a reference, see Stanley's EC2, exercise 7.78(f). | |
May 9, 2017 at 19:53 | history | answered | Mark Wildon | CC BY-SA 3.0 |