Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Proof of Kac and Rudakov's Conjecture on Generalized Verma Module over
  Lie Superalgebra E(5,10)   The exceptional infinite-dimensional linearly compact simple Lie superalgebra
${E}(5,10)$, which Kac believes, is the algebra of symmetries of the ${SU}_{5}$
Grand Unified Model. In this paper, we give a proof of Kac and Rudakov's
conjecture about the classification of all the degenerate generalized Verma
module over ${E}(5,10)$. Also, we work out all the nontrivial singular vectors
degree by degree. It is a potential that the representation theory of
${E}(5,10)$ will shed new light on various features of the the ${SU}_{5}$ Grand
unified model.

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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: physics