Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Affine q-Schur algebra   We introduce an analogue of the $q$-Schur algebra associated to Coxeter
systems of type $\hat A_{n-1}$. We give two constructions of this algebra. The
first construction realizes the algebra as a certain endomorphism algebra
arising from an affine Hecke algebra of type $\hat A_{r-1}$, where $n \geq r$.
This generalizes the original $q$-Schur algebra as defined by Dipper and James,
and the new algebra contains the ordinary $q$-Schur algebra and the affine
Hecke algebra as subalgebras. Using this approach we can prove a double
centralizer property. The second construction realizes the affine $q$-Schur
algebra as the faithful quotient of the action of a quantum group on the tensor
power of a certain module, analogous to the construction of the ordinary
$q$-Schur algebra as a quotient of $U(\frak g \frak l_n)$.

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The categories of this paper are: eess
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
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The categories of this paper are: econ
25
The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio