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Topic: questions about slides "Hook Lengths and Contents" by R. P. Stanley
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wouter meeussen

Posts: 10
Registered: 1/29/05
questions about slides "Hook Lengths and Contents" by R. P. Stanley
Posted: Jun 19, 2011 12:56 PM
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(previously posted on sci.math.symbolic : May 9, 2011 5:08 PM, no replies
sofar )

questions about an excelent set of didactic slides by R. P. Stanley:
http://www-math.mit.edu/~rstan/transparencies/hooks.pdf :

slide 16: d2(n) and d3(n) do not seem to fit the polynomes for dk(n);
cfr http://www-irma.u-strasbg.fr/~guoniu/papers/p60hdpartconj.pdf pg 7
conjecture 3.2
with which I *do* agree. Strange.

Problem:
can anyone please help me understand (and interpret) slide 35 ??
It is extremely frustrating to have succeeded in reconstructing all slides
sofar into Mathematica-one-liners (or abouts),
cfr http://users.telenet.be/Wouter.Meeussen/NekrasovOkounkov.nb
but I'm completely at a loss with this one.
Some examples would work wonders for me. Like, what is the result on lhs\rhs
partitions\permutations of n=4?
And, to make things worse, it's labeled "the Fundamental tool".


Wouter.



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