Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comparing skew Schur functions: a quasisymmetric perspective   Reiner, Shaw and van Willigenburg showed that if two skew Schur functions s_A
and s_B are equal, then the skew shapes A and B must have the same "row overlap
partitions." Here we show that these row overlap equalities are also implied by
a much weaker condition than skew Schur equality: that s_A and s_B have the
same support when expanded in the fundamental quasisymmetric basis F.
Surprisingly, there is significant evidence supporting a conjecture that the
converse is also true.
  In fact, we work in terms of inequalities, showing that if the F-support of
s_A contains that of s_B, then the row overlap partitions of A are dominated by
those of B, and again conjecture that the converse also holds. Our evidence in
favor of these conjectures includes their consistency with a complete
determination of all F-support containment relations for F-multiplicity-free
skew Schur functions. We conclude with a consideration of how some other
quasisymmetric bases fit into our framework.

37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics