Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A web basis of invariant polynomials from noncrossing partitions   The irreducible representations of symmetric groups can be realized as
certain graded pieces of invariant rings, equivalently as global sections of
line bundles on partial flag varieties. There are various ways to choose useful
bases of such Specht modules $S^\lambda$. Particularly powerful are web bases,
which make important connections with cluster algebras and quantum link
invariants. Unfortunately, web bases are only known in very special cases --
essentially, only the cases $\lambda=(d,d)$ and $\lambda=(d,d,d)$. Building on
work of B. Rhoades (2017), we construct an apparent web basis of invariant
polynomials for the $2$-parameter family of Specht modules with $\lambda$ of
the form $(d,d,1^\ell)$. The planar diagrams that appear are noncrossing set
partitions, and we thereby obtain geometric interpretations of earlier
enumerative results in combinatorial dynamics.

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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: cs
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The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph