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Differential calculi on the Z3-graded Hopf algebra F((C)over-tilde1|1|1q)

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dc.contributor.authorCelik, Sultan A.
dc.date.accessioned2026-06-27T15:12:24Z
dc.date.issued2025
dc.description.abstractConsidering a Z(3)-graded 3-dimensional space, we develop Z(3)-graded differential calculi on the algebra of functions defined on this space, which is a Z(3)-graded Hopf algebra. We demonstrate that these differential calculi admit a *-operation. Additionally, we discover a new Z(3)-graded upper triangular quantum group and explicitly define its Z(3)-graded Hopf algebraic structure. We also show in detail that this quantum group is the symmetry group of one of these calculi.en
dc.description.urihttps://doi.org/10.1007/s40065-025-00517-z
dc.identifier.doi10.1007/s40065-025-00517-z
dc.identifier.eissn2193-5351
dc.identifier.endpage218
dc.identifier.issn2193-5343
dc.identifier.issue2
dc.identifier.startpage197
dc.identifier.urihttps://hdl.handle.net/20.500.14981/68929
dc.identifier.volume14
dc.identifier.wos001494903500001
dc.language.isoeng
dc.publisherSPRINGER HEIDELBERG
dc.relation.ispartofARABIAN JOURNAL OF MATHEMATICS
dc.subjectQUANTUM
dc.subjectGEOMETRY
dc.subjectD(3)=0
dc.subjectMathematics
dc.titleDifferential calculi on the Z3-graded Hopf algebra F((C)over-tilde1|1|1q)
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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