Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the algorithm to find S-related Lie algebras   In this article we describe the Java library that we have recently
constructed to automatize the S-expansion method, a powerful mathematical
technique allowing to relate different Lie algebras. An important input in this
procedure is the use of abelian semigroups and thus, we start with a brief
review about the classification of non-isomorphic semigroups made in the
literature during the last decades, and explain how the lists of non-isomorphic
semigroups up to order 6 can be used as inputs in many of the methods of our
library. After describing the main features of the classes that compose our
library we present a new method called fillTemplate which tuns out to be very
useful to answer whether two given algebras can be S-related.

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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: quant-ph
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The categories of this paper are: stat