Publicación: ON A JAVA LIBRARY TO PERFORM S-EXPANSIONS OF LIE ALGEBRAS
Fecha
2018
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JOURNAL OF PHYSICS: CONFERENCE SERIES
Resumen
THE S-EXPANSION METHOD IS A GENERALIZATION OF THE INÖNÜ-WIGNER (IW) CONTRACTION THAT ALLOWS TO STUDY NEW NON-TRIVIAL RELATIONS BETWEEN DIFFERENT LIE ALGEBRAS. BASICALLY, THIS METHOD COMBINES A LIE ALGEBRA G WITH A FINITE ABELIAN SEMIGROUP S IN SUCH A WAY THAT A NEW S-EXPANDED ALGEBRA GS CAN BE DEFINED. WHEN THE SEMIGROUP HAS A ZERO-ELEMENT AND/OR A SPECIFIC DECOMPOSITION, WHICH IS SAID TO BE RESONANT WITH THE SUBSPACE STRUCTURE OF THE ORIGINAL ALGEBRA, THEN IT IS POSSIBLE TO EXTRACT SMALLER ALGEBRAS FROM GS WHICH HAVE INTERESTING PROPERTIES. HERE WE GIVE A BRIEF DESCRIPTION OF THE S-EXPANSION, ITS APPLICATIONS AND THE MAIN MOTIVATIONS THAT LEAD US TO ELABORATE A JAVA LIBRARY, WHICH AUTOMATIZES THIS METHOD AND ALLOWS US TO REPRESENT AND TO CLASSIFY ALL POSSIBLE S-EXPANSIONS OF A GIVEN LIE ALGEBRA.
