Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Digitalization of exceptional simple Lie algebras into matrices over
  complex numbers   We give the images of the adjoint representations of exceptional simple Lie
algebras by matrices over complex numbers. Next, we digitalize these matrices
by the use of Maxima, which is a computer algebra system. These digitalized
matrices are provided by using Maxima's function. We prove that these
digitalized matrices are closed by Lie bracket operations and make up simple
Lie algebras. Moreover, to prove the type of the exceptional simple Lie
algebra, we calculate the root system using Maxima for Lie bracket operations
as matrix calculations. We show some examples of classical Lie subalgebras of
these digitalized matrices.

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The categories of this paper are: hep-th
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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: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph