Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Lusztig's map for spherical unipotent conjugacy classes   We provide an alternative description of the restriction to spherical
unipotent conjugacy classes, of Lusztig's map Psi from the set of unipotent
conjugacy classes in a connected reductive algebraic group to the set of
conjugacy classes of its Weyl group. For irreducible root systems, we analyze
the image of this restricted map and we prove that a conjugacy class in a
finite Weyl group has a unique maximal length element if and only if it has a
maximum.

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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: physics
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: cond-mat