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A New Z3-Graded Quantum Space And Its Geometry

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dc.contributor.authorCelik, Sultan A.
dc.contributor.authorPeker-Dobie, Ayse
dc.contributor.authorBulut, Fatma
dc.contributor.authorTemli, Ilknur
dc.date.accessioned2026-06-27T15:14:24Z
dc.date.issued2025
dc.description.abstractIn this article, we initially define an R-matrix with rank 9. Through the application of the quantum group relation, we derive a Z(3)-graded quantum group, denoted by GL(q)(1|1|1), representing the group of 3x3 matrices. By introducing a Z(3)-graded quantum space, denoted by C-1|1|1 (q) , along with its exterior algebra, we formulate two Z(3)-graded differential calculi which are covariant with respect to the Z(3)-graded Hopf algebra of functions on the Z3-graded quantum group GL(q)(1|1|1).en
dc.description.sponsorshipNewZ3-graded quantum space and its geometry [123F216]
dc.description.sponsorshipTUBITAK-1002 Project
dc.description.urihttps://doi.org/10.1007/s10773-025-05947-1
dc.identifier.doi10.1007/s10773-025-05947-1
dc.identifier.eissn1572-9575
dc.identifier.issn0020-7748
dc.identifier.issue5
dc.identifier.urihttps://hdl.handle.net/20.500.14981/69349
dc.identifier.volume64
dc.identifier.wos001475287900001
dc.language.isoeng
dc.publisherSPRINGER/PLENUM PUBLISHERS
dc.relation.ispartofINTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
dc.subjectZ(3)-graded space
dc.subjectZ(3)-graded algebra
dc.subjectZ(3)-graded quantum group
dc.subjectZ(3)-graded Hopf algebra
dc.subjectZ(3)-graded differential calculus
dc.subjectZ(3)-graded q-oscillators
dc.subjectDIFFERENTIAL-CALCULUS
dc.subjectDEFORMATION
dc.subjectPhysics
dc.titleA New Z3-Graded Quantum Space And Its Geometry
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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