Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Loewy series of parabolically induced $G_1T$-Verma modules   Assuming the Lusztig conjecture on the irreducible characters for reductive
algebraic groups in positive characteristic $p$, which is now a theorem for
large $p$, we show that the modules for their Frobenius kernels induced from
the simple modules of $p$-regular highest weights for their parabolic subgroups
are rigid and determine their Loewy series.

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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys