Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equality of P-partition generating functions   To every labeled poset (P,\omega), one can associate a quasisymmetric
generating function for its (P,\omega)-partitions. We ask: when do two labeled
posets have the same generating function? Since the special case corresponding
to skew Schur function equality is still open, a complete classification of
equality among (P,\omega) generating functions is likely too much to expect.
Instead, we determine necessary conditions and separate sufficient conditions
for two labeled posets to have equal generating functions. We conclude with a
classification of all equalities for labeled posets with small numbers of
linear extensions.

30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat