On the algorithm to find S-related Lie algebras

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.

6 pages, Talk at ACAT 2017, Seattle, USA, to appear in Proceedings of ACAT 2017

References in corpus (1)

• Expanding Lie (super)algebras through abelian semigroups

Cited by in corpus (6)

• Non-relativistic three-dimensional supergravity theories and semigroup expansion method
• Three-dimensional exotic Newtonian supergravity theory with cosmological constant
• Non-relativistic and Ultra-relativistic Expansions of Three-dimensional Spin-3 Gravity Theories
• Three-dimensional non-relativistic supergravity and torsion
• Non-relativistic gravity theories in four spacetime dimensions
• Resonant superalgebras for supergravity