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A JAVA LIBRARY TO PERFORM S-EXPANSIONS OF LIE ALGEBRAS

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dc.creatorIGOR NIKOLAEVICH KONDRACHOUK
dc.date2025
dc.date.accessioned2026-11-12T18:50:08Z
dc.date.available2026-11-12T18:50:08Z
dc.date.issued2025
dc.description.abstractTHE CONTRACTION METHOD IS A PROCEDURE THAT ALLOWS TO ESTABLISH NON-TRIVIAL RELATIONS BETWEEN LIE ALGEBRAS AND HAS HAD SUCCESSFUL APPLICATIONS IN BOTH MATHEMATICS AND THEORETICAL PHYSICS. THIS WORK DEALS WITH GENERALIZATIONS OF THE CONTRACTION PROCEDURE, WITH A MAIN FOCUS ON THE SO-CALLED S-EXPANSION METHOD, AS IT INCLUDES MOST OF THE OTHER GENERALIZED CONTRACTIONS. BASICALLY, THE S-EXPANSION COMBINES A LIE ALGEBRA ? WITH A FINITE ABELIAN SEMIGROUP S IN ORDER TO DEFINE NEW S-EXPANDED ALGEBRAS. AFTER GIVING A DESCRIPTION OF THE MAIN INGREDIENTS USED IN THIS PAPER, WE PRESENT A JAVA LIBRARY THAT AUTOMATES THE S-EXPANSION PROCEDURE. WITH THIS COMPUTATIONAL TOOL, WE ARE ABLE TO REPRESENT LIE ALGEBRAS AND SEMIGROUPS, SO WE CAN PERFORM S-EXPANSIONS OF LIE ALGEBRAS USING ARBITRARY SEMIGROUPS. WE EXPLAIN HOW THE LIBRARY METHODS HAVE BEEN CONSTRUCTED AND HOW THEY WORK; THEN, WE GIVE A SET OF EXAMPLE PROGRAMS AIMED TO SOLVE DIFFERENT PROBLEMS. THEY ARE PRESENTED SO THAT ANY USER CAN EASILY MODIFY THEM TO PERFORM THEIR OWN CALCULATIONS, WITHOUT NECESSARILY BEING AN EXPERT IN JAVA. FINALLY, SOME COMMENTS ABOUT FURTHER DEVELOPMENTS AND POSSIBLE NEW APPLICATIONS ARE MADE.
dc.formatapplication/pdf
dc.identifier.doi10.3390/axioms14100735
dc.identifier.issn2075-1680
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/14376
dc.languageENG
dc.publisherAXIOMS
dc.relation.uri10.3390/axioms14100735
dc.rightsOPEN ACCESS
dc.subjectS-expansion
dc.subjectLie algebra
dc.subjectSemigroup
dc.subjectJava programming
dc.titleA JAVA LIBRARY TO PERFORM S-EXPANSIONS OF LIE ALGEBRAS
dc.typeARTÍCULO
dspace.entity.typePublication
oaire.fundingReferenceUBB- UNIVERSIDAD DEL BÍO-BÍO
oaire.licenseConditionCC BY 4.0
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE CIENCIAS BASICAS
ubb.SedeCHILLÁN
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