Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Plethysms of symmetric functions and highest weight representations   Let $s_\nu \circ s_\mu$ denote the plethystic product of the Schur functions
$s_\nu$ and $s_\mu$. In this article we define an explicit polynomial
representation corresponding to $s_\nu \circ s_\mu$ with basis indexed by
certain `plethystic' semistandard tableaux. Using these representations we
prove generalizations of four results on plethysms due to
Bruns--Conca--Varbaro, Brion, Ikenmeyer and the authors. In particular, we give
a sufficient condition for the multiplicity $\langle s_\nu \circ s_\mu,
s_\lambda\rangle$ to be stable under insertion of new parts into $\mu$ and
$\lambda$. We also characterize all maximal and minimal partitions $\lambda$ in
the dominance order such that $s_\lambda$ appears in $s_\nu \circ s_\mu$ and
determine the corresponding multiplicities using plethystic semistandard
tableaux.

28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg