Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Partitions of the wonderful group compactification   We define and study a family of partitions of the wonderful compactification
\bar{G} of a semi-simple algebraic group G of adjoint type. The partitions are
obtained from subgroups of G \times G associated to triples (A_1, A_2, a),
where A_1 and A_2 are subgraphs of the Dynkin graph \Gamma of G and a : A_1 \to
A_2 is an isomorphism. The partitions of \bar{G} of Springer and Lusztig
correspond respectively to the triples (\emptyset, \emptyset, \id) and (\Gamma,
\Gamma, \id).

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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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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: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: q-alg
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The categories of this paper are: cs