Igor Pak writes: ---------- Forwarded message ---------- From: Igor Pak Date: Saturday, August 17, 2013 Subject: [math-fun] Q about a (planar-)partition bijection To: James Propp <jamespropp@gmail.com> Dear Jim, The bijection is classical, but highly non-trivial. It is a variation on the Hillman-Grassl bijection, itself a variation on RSK. The shortest answer to this question is in my partition bijections survey (see link below), section 9.1. Best, -- Igor http://tinyurl.com/kudbqem On Sat, Aug 17, 2013 at 3:34 AM, James Propp <jamespropp@gmail.com> wrote:
Dear Igor,
Surely you would know of such a thing!
Jim
---------- Forwarded message ---------- From: Joerg Arndt Date: Friday, August 16, 2013 Subject: [math-fun] Q about a (planar-)partition bijection To: math-fun <math-fun@mailman.xmission.com>
Hesitatingly, I'll dare ask a question of rather specific nature:
The generating function of planar partitions is 1 / prod(n>=1, (1 - q^n)^n ) Now that is also the g.f. of (the usual) partitions with one sort of 1, two sorts of 2, three of 3, etc.
I am the only person on this planet that cannot figure out a (natural, constructive) bijection?
Best, jj
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