Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Frobenius map for the centers of Hecke algebras   We introduce a commutative associative graded algebra structure on the direct
sum Z of the centers of the Hecke algebras associated to the symmetric groups
in n letters for all n. As a natural deformation of the classical construction
of Frobenius, we establish an algebra isomorphism from the algebra Z to the
ring of symmetric functions. This isomorphism provides an identification
between several distinguished bases for the centers (introduced by
Geck-Rouquier, Jones, Lascoux) and explicit bases of symmetric functions.

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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: cs
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The categories of this paper are: hep-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas