Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lusztig's strata are locally closed   Let G be a connected reductive algebraic group over an algebraically closed
field k. We consider the strata in G defined by Lusztig as fibers of a map
given in terms truncated induction of Springer representations. We extend to
arbitrary characteristic the following two results: Lusztig's strata are
locally closed and the irreducible components of a stratum X are those sheets
for the G-action on itself that are contained in X.

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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: hep-th
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The categories of this paper are: nlin