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ON A JAVA LIBRARY TO PERFORM S-EXPANSIONS OF LIE ALGEBRAS

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dc.creatorIGOR NIKOLAEVICH KONDRACHOUK
dc.date2018
dc.date.accessioned2025-01-10T15:03:31Z
dc.date.available2025-01-10T15:03:31Z
dc.date.issued2018
dc.description.abstractTHE 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.
dc.formatapplication/pdf
dc.identifier.doi10.1088/1742-6596/1085/5/052010
dc.identifier.issn1742-6596
dc.identifier.issn1742-6588
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/10216
dc.languagespa
dc.publisherJOURNAL OF PHYSICS: CONFERENCE SERIES
dc.relation.uri10.1088/1742-6596/1085/5/052010
dc.rightsPUBLICADA
dc.titleON A JAVA LIBRARY TO PERFORM S-EXPANSIONS OF LIE ALGEBRAS
dc.title.alternativeEN UNA BIBLIOTECA JAVA PARA REALIZAR EXPANSIONES S DE ÁLGEBRAS DE LIE
dc.typePROCEEDING PAPER
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE CIENCIAS BASICAS
ubb.SedeCHILLÁN
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