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Oct 21, 2022 at 14:16 comment added Per Alexandersson If you want for all of them simultaneously, then that's equivalent to integrality in the other symmetric function bases, the m:s, e:s and h:s.
Oct 21, 2022 at 7:55 comment added Vladimir Dotsenko Can you perhaps give an example of what you want? Say, a certain set of diagrams where you expect or already have a reasonable description?
Oct 21, 2022 at 6:40 comment added Nicolas Medina Sanchez Thanks for the comment. I Forgot to specify that I want to know when the specialization is an integer for some set of diagrams, but maybe not all of them.
Oct 21, 2022 at 6:36 comment added Fedor Petrov You mean that for all $\lambda$ the value must be integer? For fixed $\lambda$ there hardly can be a characterization other than "this polynomial at this point takes an integer value".
Oct 21, 2022 at 6:19 history asked Nicolas Medina Sanchez CC BY-SA 4.0