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arXiv · 1802.05765

On the algorithm to find S-related Lie algebras

Carlos Inostroza·Igor Kondrashuk·Nelson Merino·Felip Nadal
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Abstract

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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Carlos Inostroza, Igor Kondrashuk, Nelson Merino, Felip Nadal. 2018-02-14. On the algorithm to find S-related Lie algebras. https://doi.org/10.1088/1742-6596/1085/5/052011

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