Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Standard multipartitions and a combinatorial affine Schur-Weyl duality   We introduce the notion of standard multipartitions and establish a
one-to-one correspondence between standard multipartitions and irreducible
representations with integral weights for the affine Hecke algebra of type A
with a parameter q which is not a root of unity. We then extend the
correspondence to all Kleshchev multipartitions for Ariki-Koike algebras of
integral type. By the affine Schur--Weyl duality, we further extend this to a
correspondence between standard multipartitions and Drinfeld multipolynomials
of integral type whose associated irreducible polynomial representations
completely determine all irreducible polynomial representations for the quantum
loop algebra. We will see, in particular, the notion of standard
multipartitions gives rise to a combinatorial description of the affine
Schur--Weyl duality in terms of a column-reading vs. row reading of residues of
a multipartition.

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The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom