Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On semisimplicity of Jantzen middles for the periplectic Lie
  superalgebra   We prove that an integral block of the category $\mathcal O$ of the
periplectic Lie superalgebra contains a non-semisimple Jantzen middle if and
only if it contains a simple module of atypical highest weight. As a
consequence, every atypical integral block of $\mathcal O$ does not admit a
Kazhdan-Lusztig theory in the sense of Cline, Parshall and Scott.

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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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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: hep-ph
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The categories of this paper are: plasm-ph