Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Donkin's Tilting Module Conjecture II: Counterexamples   In this paper we produce infinite families of counterexamples to Jantzen's
question posed in 1980 on the existence of Weyl $p$-filtrations for Weyl
modules for an algebraic group and Donkin's Tilting Module Conjecture
formulated in 1990. New techniques to exhibit explicit examples are provided
along with methods to produce counterexamples in large rank from
counterexamples in small rank. Counterexamples can be produced via our methods
for all groups other than when the root system is of type $\rm{A}_{n}$ or
$\rm{B}_{2}$.

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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: cs
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The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex